Spin(N) Magnetic Quivers

Amihay Hanany; Mohammad Akhond; Sam Bennett

REVIEW 3 major objections 5 minor 45 references

Spin(N) Magnetic Quivers

T0 review · 3 major / 5 minor · reviewed 2026-08-15 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read This paper introduces new magnetic quivers for 5d N=1 Spin(N) gauge theories with spinor hypermultiplets and identifies their Coulomb branches as nilpotent orbit closures, products of such spaces, and isolated symplectic singularities.

desk verdict A large, well-checked catalog of new finite-coupling magnetic quivers for Spin(N) with spinor matter; the main caveat is the unpublished polymerisation algorithm, a genuine verifiability gap but not a reason to doubt the central identifications. read the letter →

arxiv 2608.11482 v1 pith:7TGNSOKY submitted 2026-08-11 hep-th

Mohammad Akhond , Sam Bennett , Amihay Hanany This is my paper · ORCID

classification hep-th

keywords magneticquiversorthosymplecticSpin(N)gaugetheoryspinormatterCoulombbranchnilpotentorbitclosuresquiverpolymerisationwreathingandfolding

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper constructs magnetic quivers — auxiliary 3d N=4 quiver gauge theories read off from brane webs — for 5d N=1 Spin(N) gauge theories with hypermultiplets in spinor representations, working at finite coupling and in several cases at infinite coupling. It claims that these quivers' Coulomb branches reproduce the known Higgs branches of the five-dimensional electric theories: minimal nilpotent orbit closures of sl_n for Spin(2), of so_{2n} for Spin(3), products of such spaces for Spin(4), and next-to-minimal orbit closures for Spin(5). It also presents Coulomb-branch constructions of B- and C-type nilpotent orbit closures by wreathing and folding the new quivers. If correct, these examples enlarge the known set of unframed orthosymplectic 3d N=4 theories whose moduli spaces are isolated symplectic singularities, and provide new building blocks for quiver subtraction.

What carries the argument

The central object is the magnetic quiver: an unframed orthosymplectic 3d $\mathcal{N}=4$ quiver whose Coulomb branch, the moduli space of dressed monopole operators, is claimed to reproduce the electric Higgs branch. The identifications are carried by Hilbert series: for each quiver the paper computes the unrefined Coulomb branch Hilbert series, splits it into integer- and half-integer monopole lattice contributions, and matches the result to the known (Weyl-integrated) Higgs branch of the 5d theory. Many quivers are built from the free 'Spin(0)' theories of Table 1 by the quiver-polymerisation recipe (whose orthosymplectic version is deferred to reference [24]); Section 4 applies $\mathbb{Z}_2$ wreathing and folding to these quivers to reach B- and C-type nilpotent orbit closures.

What would settle it

Compute the Coulomb branch Hilbert series of, say, the Spin(3) five-spinor magnetic quiver (Table 4) beyond order $t^{10}$ with an independent monopole formula; the paper's claim predicts it equals the Hilbert series of the next-to-minimal nilpotent orbit closure of $\mathrm{SO}(10)$ at every order. A single mismatched coefficient would falsify the identification. Alternatively, run the polymerisation recipe on a case with a known 3d mirror and compare the resulting Hilbert series.

Watch

Extended reading notes

Core claim

The paper's central discovery is that finite- and some infinite-coupling magnetic quivers for Spin(N) gauge theory with spinor matter have Coulomb branches equal to explicit classical geometric spaces, verified by matching Hilbert series (both integer-lattice and half-integer-lattice contributions) against the electric theory's Higgs branch. For Spin(2) the Coulomb branch is the closure of a minimal nilpotent orbit of $\mathfrak{sl}_n$; for Spin(3), of $\mathfrak{so}_{2n}$; for Spin(4), a product of two such D-type closures; for Spin(5), a next-to-minimal orbit closure of $\mathrm{SO}(2M)$; and for Spin(6) and Spin(7), various orbit closures and transverse slices inside the nilpotent cones of $\mathfrak{sl}_8$ and $\mathfrak{c}_3$. Many of these quivers are new 3d $\mathcal{N}=4$ theories whose Coulomb and Higgs branches are isolated symplectic singularities or products of such spaces. Wreathing by $\mathbb{Z}_2$ produces Coulomb branches equal to next-to-minimal orbit closures of types C and B, while folding produces minimal orbit closures of those types.

Load-bearing premise

The identification rests on the correctness of an unpublished recipe ('quiver polymerisation') for combining simpler quivers into the orthosymplectic quivers in Tables 2-5; if that recipe is wrong or does not apply to Spin(N) spinor matter, the Coulomb-branch identifications do not follow.

Editorial extensions

If this is right

The finite-coupling Spin(2) quivers provide a family of previously unknown unframed orthosymplectic theories whose Coulomb branch is a minimal nilpotent orbit closure of $\mathfrak{sl}_n$.
The Spin(3) and Spin(4) examples show that connected orthosymplectic quivers can have Coulomb branches that are single D-type orbit closures or products of two such closures, respectively.
The wreathed and folded quivers give new 3d $\mathcal{N}=4$ Lagrangian theories realizing B- and C-type nilpotent orbit closures, expanding the list of classical nilpotent orbit closures accessible to quiver constructions.
The quiver subtraction patterns for rank-2 and rank-3 theories offer testable data for a future orthosymplectic quiver subtraction algorithm.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

A natural extension, not pursued in the paper, would be to test whether the same polymerisation recipe produces magnetic quivers for higher-rank Spin(2k) and Spin(2k+1) theories with spinor and cospinor matter, which would populate further minimal quiver classes.
The appearance of outer automorphism symmetries inherited from the free building blocks suggests a systematic dictionary between outer automorphisms of orthosymplectic quivers and B/C-type orbit closures; refined Hilbert series or equivariant computations could verify it quiver by quiver.
The paper notes that some Spin(2) theories lack a 5d UV fixed point yet still yield meaningful magnetic quivers; this hints that brane webs can be mined for moduli-space data beyond the 5d UV-complete regime, a point the authors flag in the outlook.

Share X Bluesky LinkedIn Reddit HN

Signed reviews

No signed human review yet.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Short version: this paper is exactly what it says it is—a systematic construction of magnetic quivers for 5d Spin(N) SQCD with spinor matter, with a lot of real computational support. The new material is the finite-coupling quivers for Spin(2), Spin(3), Spin(4), Spin(6), and Spin(7) with spinor matter, plus the wreathed and folded B/C-type quivers in Tables 6 and 7. The infinite-coupling counterparts were known from [17, 18]; the finite-coupling ones are not, and the paper says so clearly.

What earns credit: the Coulomb branch Hilbert series are computed for many of these quivers, often in closed form (e.g., 3.5, 3.6, 3.17, 3.28, 3.40), and they match the Hilbert series of the claimed nilpotent orbit closures. These are external benchmarks, not fitted outputs. The paper also checks the quiver Coulomb branches against the electric Higgs branch Hilbert series from Weyl integration, which is a genuine cross-check. The authors flag which subtraction patterns are conjectural and which Hasse diagrams are exact. That honesty is not window dressing; they distinguish the layers of evidence.

Where it's soft: the orthosymplectic polymerisation algorithm is the method that generates many of the quivers, but it is not specified. The paper defers to reference [24], listed as 'Upcoming Work.' That matters because Tables 2–5 record polymerisation inputs via (n,m) labels, not the operations themselves. So the reader cannot reproduce the quiver-generation step independently. This is an access gap, not an error—the resulting quivers are then checked against external Hilbert series, so the final products are on much firmer ground than the generation step. Still, if you want to verify that the Spin(2) or Spin(3) quiver for N_S=16 or 32 is really the magnetic quiver of the stated 5d theory, you cannot do it from this paper alone.

There is a second, smaller caveat: some of the Hilbert series for larger N_S are truncated at O(t^6) or O(t^10). The pattern is uniform and the low-order matches are consistent, but the displayed series do not prove the full identity for the biggest cases. The paper does not oversell this; the tables are clearly computational.

Overall: this is a useful and honestly presented catalog. It belongs in the literature. For a serious referee, the main request is to make the polymerisation algorithm available—either as a published reference or an appendix—and to state the order up to which each identification is established.

I'd send it to review with that condition. If the algorithm really is forthcoming, this will be a handy reference for the orthosymplectic quiver and 3d N=4 community.

Referee Report

3 major / 5 minor

Summary. The paper presents candidate magnetic quivers for 5d N=1 Spin(N) gauge theories with hypermultiplets in spinor representations, at finite and infinite coupling, for ranks 1-3. The finite-coupling cases are obtained by applying a claimed 'orthosymplectic quiver polymerisation' to the free theories in Table 1; the resulting quivers are listed in Tables 2-5. Extensive Hilbert series checks, e.g. (3.5), (3.17), (3.28), (3.40), match Coulomb branches to minimal or next-to-minimal nilpotent orbit closures of classical Lie algebras, and Hasse diagrams are given for the multi-cone examples. Section 4 uses wreathings and foldings to propose quivers for B- and C-type nilpotent orbit closures.

Significance. Should the constructions be correct, this is a useful contribution: it substantially enlarges the small list of unframed orthosymplectic 3d N=4 quivers whose Coulomb and Higgs branches are isolated symplectic singularities, and it supplies explicit building blocks for quiver subtraction. The exact closed-form Hilbert series for many quivers are non-trivial external benchmarks, and the wreathing and folding results are new. The main caveat is that the map from 5d electric theories to the listed quivers is not checkable from the manuscript as it currently stands.

major comments (3)

[Section 1, 'Hyper-Kähler Quotients and Polymerisations'; Tables 2-5] The construction of the quivers in Tables 2-5 is deferred to an unpublished algorithm. The text states that 'the details of this orthosymplectic polymerisation algorithm are not given here' and directs the reader to reference [24], which is listed as 'Upcoming Work' with no contents; the fifth columns of Tables 2-5 record only (n,m) labels of Table 1, not the polymerisation operation. Since the central claim is that the listed 3d quivers are magnetic quivers of the 5d Spin(N) theories, this is a load-bearing gap: without the algorithm, or an explicit brane-web derivation, the identification cannot be verified. Please include the algorithm or a complete derivation for the affected rows.
[Section 3.4.2, (3.41), (3.121)] The abstract promises magnetic quivers at infinite coupling and isolated symplectic singularities, but two infinite-coupling examples are explicitly left unresolved. After (3.41) the authors state that the Sp(4) node has negative balance and 'the true identity of this theory’s Coulomb branch remains unclear'; after (3.121) they state that 'neither the Hasse diagram nor the precise identity of the moduli space is known.' These examples should either be completed or explicitly excluded from the claims in the abstract and introduction.
[Appendix B, Tables 10-12] For the larger matter contents the Coulomb branch Hilbert series are truncated at low order: for example, Table 10 stops at O(t^6) for N_S=16,17,18,20,24,32, and similar truncations appear in Tables 11 and 12. A truncated series cannot by itself distinguish the claimed minimal nilpotent orbit closure from other spaces with the same low-order terms. The paper should either extend these series, provide a closed-form expression, or state clearly which table entries are conjectural.

minor comments (5)

[Throughout] The manuscript contains many typos, including 'constrction', 'autmorphism', 'teh', 'demondstrated', 'fuagcity', 'relabancing', 'colunmn', and 'canot'. A careful proofreading pass is needed.
[Section 3.4.2, first paragraph] The phrase 'The Higgs branches of rank-3 theories are of height 1 three' appears to be a typo; it should presumably read 'height 3'.
[Table 13] In the folded theory row for Spin(3), N_S=10, the Coulomb branch is labelled b10, while Table 7 lists the same folding as b9. Please correct the inconsistency.
[Section 3.2.1] The notation H_n, n.min, and 'Slodowy' is used extensively without definition. Please define these terms at first use.
[References] Reference [24] is listed as 'Upcoming Work' with no title or arXiv number. For a manuscript whose central construction depends on this reference, this is not sufficient; please replace it with a citable preprint or move the algorithm into the paper.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the quiver Coulomb-branch identifications are checked against external Hilbert series and independent electric Higgs-branch computations; the deferred polymerisation algorithm is a verifiability gap, not a circular reduction.

full rationale

No circular step is exhibited. The central claim — that the listed magnetic quivers have Coulomb branches equal to specified nilpotent orbit closures or Slodowy slices — is supported by monopole-formula Coulomb branch Hilbert series in Appendix B, which are compared with known Hilbert series of nilpotent orbit closures and, in several cases, with independent electric Higgs-branch Hilbert series obtained by Weyl integration (e.g., equations (3.5), (3.27), (3.89), and Tables 10–13). Neither computation is defined in terms of the other, so the agreement is a genuine cross-check rather than an identity by construction. The one circularity-adjacent concern is the orthosymplectic polymerisation algorithm: Section 1 states 'The details of this orthosymplectic polymerisation algorithm are not given here – the interested reader is encouraged to consult [24]', and reference [24] is listed as 'Upcoming Work'. This makes the quiver-generation step partially unverifiable and load-bearing, but it is not circular: the displayed quivers are not defined from the target Coulomb branch data, and their Hilbert series are then computed and tested against external benchmarks. Similarly, the citation of [23] for polymerisation quivers is a normal reference to prior work, not a self-citation that forces the conclusion. The paper therefore contains no step where a predicted result reduces by construction to its own input; the honest finding is no significant circularity.

Assumptions & free parameters 0 free parameters · 5 assumptions · 0 invented entities

No free parameters are fitted and no new physical entities are postulated. The axioms listed are the background machinery the central claim depends on, with the unpublished polymerisation algorithm being the least externally verified input.

assumptions (5)

domain assumption The brane web conventions and the map from brane webs to magnetic quivers of [9,14,17,18,25-27] apply to the Spin(N) spinor theories considered, including finite coupling and non-UV-complete examples.
The paper states it uses the brane web conventions specified in [9,14,17,18,25-27] and introduces no new brane web manipulations; any error in the dictionary propagates to all quivers.
ad hoc to paper The orthosymplectic quiver polymerisation algorithm of [23,24] produces the magnetic quivers in Tables 2-5 from the free theories of Table 1.
The Introduction says the algorithm's details are not given and defers to unpublished [24]; multiple quiver constructions and the (n,m) columns in Tables 2-5 depend on it.
domain assumption The monopole formula, including half-integer lattice monopole sectors, correctly computes the Coulomb branch Hilbert series of unframed orthosymplectic quivers.
All Coulomb branch Hilbert series in Appendix B rely on this standard technique, cited to [13,14]; the identifications with nilpotent orbit closures inherit its validity.
domain assumption A finite number of Hilbert series coefficients, sometimes to O(t^10) or fewer, suffices to identify the moduli space as a specific nilpotent orbit closure.
Examples such as Table 10 (NS=16: only four series coefficients listed for a15) and (3.24)-(3.27) for n.min.SO(12) use truncated data; this is standard in the magnetic quiver literature but unproven.
standard math The known hyper-Kahler quotient identifications min.D_n / Z2 = n.min.B_{n-1} and min.A_{2n+1} / Z2 = n.min.C_n (Brylinski-Kostant [46]) determine the Coulomb branches of the wreathed and folded quivers.
Section 4 relies on these identifications to label the wreathed quiver Coulomb branches as n.min.B and n.min.C type.

how reviews work

0 comments

Cite this review

Pith. "Pith review of Spin(N) Magnetic Quivers." pith.science (2026). https://pith.science/paper/7TGNSOKY

@misc{pith2026260811482,
  author       = {Pith},
  title        = {Pith review of: Spin(N) Magnetic Quivers},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/7TGNSOKY}},
  note         = {Machine review of arXiv:2608.11482}
}

abstract

This work introduces new magnetic quivers for $5\mathrm{d}$ $\mathcal N=1$ Spin(N) gauge theories with hypermultiplets in spinor representations at both finite and infinite coupling. Among them are new 3d $\mathcal{N}=4$ theories whose Coulomb and Higgs branches are isolated symplectic singularities, or a product of such spaces. These theories further expand the set of orthosymplectic quiver gauge theories whose Coulomb branch is a single isolated singularity, termed `minimal quivers'. Wreathings and foldings thereof realise quivers for non-simply laced nilpotent orbit closures.

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

45 extracted references · 22 canonical work pages

[24]

Hanany, R

A. Hanany, R. Kalveks and G. Kumaran,Upcoming Work,

work page
[1]

Seiberg,Five dimensional susy field theories, non-trivial fixed points and string dynamics,Physics Letters B388(1996) 753–760

N. Seiberg,Five dimensional susy field theories, non-trivial fixed points and string dynamics,Physics Letters B388(1996) 753–760

work page 1996
[2]

Aharony, A

O. Aharony, A. Hanany and B. Kol,Webs of (¡i¿p¡/i¿,¡i¿q¡/i¿) 5-branes, five dimensional field theories and grid diagrams,Journal of High Energy Physics1998(1998) 002–002

work page 1998
[3]

Zafrir,Brane webs and o5-planes,Journal of High Energy Physics2016(2016)

G. Zafrir,Brane webs and o5-planes,Journal of High Energy Physics2016(2016)

work page 2016
[4]

Bergman and G

O. Bergman and G. Zafrir,5d fixed points from brane webs and o7-planes,Journal of High Energy Physics2015(2015) 1–30

work page 2015
[5]

Zafrir,Brane webs, 5d gauge theories and 6dN= (1,0)scfts,Journal of High Energy Physics2015 (2015) 1–51

G. Zafrir,Brane webs, 5d gauge theories and 6dN= (1,0)scfts,Journal of High Energy Physics2015 (2015) 1–51

work page 2015
[6]

Hayashi, S.-S

H. Hayashi, S.-S. Kim, K. Lee and F. Yagi,Dualities and 5-brane webs for 5d rank 2 SCFTs,JHEP12 (2018) 016 [1806.10569]

arXiv 2018
[7]

Hayashi, S.-S

H. Hayashi, S.-S. Kim, K. Lee and F. Yagi,Rank-3 antisymmetric matter on 5-brane webs,JHEP05 (2019) 133 [1902.04754]

arXiv 2019

Show all 45 references

[8]

Benini, S

F. Benini, S. Benvenuti and Y. Tachikawa,Webs of five-branes and N=2 superconformal field theories, JHEP09(2009) 052 [0906.0359]

2009 arXiv
[9]

Akhond, F

M. Akhond, F. Carta, S. Dwivedi, H. Hayashi, S.-S. Kim and F. Yagi,Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers,JHEP12(2020) 164 [2008.01027]

2020 arXiv
[10]

Akhond, G

M. Akhond, G. Arias-Tamargo, F. Carta, J.F. Grimminger and A. Hanany,On brane systems with O + planes — 5d and 6d SCFTs,JHEP03(2025) 137 [2411.02491]

2025
[11]

Hanany and M

A. Hanany and M. Sperling,Magnetic quivers and negatively charged branes,JHEP11(2022) 010 [2208.07270]

2022 arXiv
[12]

Bourget, S

A. Bourget, S. Giacomelli, J.F. Grimminger, A. Hanany, M. Sperling and Z. Zhong,S-fold magnetic quivers,JHEP02(2021) 054 [2010.05889]

2021 arXiv
[13]

Bourget, J.F

A. Bourget, J.F. Grimminger, A. Hanany, R. Kalveks, M. Sperling and Z. Zhong,Magnetic Lattices for Orthosymplectic Quivers,JHEP12(2020) 092 [2007.04667]

2020 arXiv
[14]

Bourget, J.F

A. Bourget, J.F. Grimminger, A. Hanany, M. Sperling and Z. Zhong,Magnetic Quivers from Brane Webs with O5 Planes,JHEP07(2020) 204 [2004.04082]

2020 arXiv
[15]

Hanany and E

A. Hanany and E. Van den Driessche,Chiral ring along the RG flow in 5dN= 1,2510.15635
[16]

Hanany and E.V.d

A. Hanany and E.V.d. Driessche,Higgs branch of 5dN= 1symplectic gauge theories and dressed instanton operators,2507.08669
[17]

Akhond, F

M. Akhond, F. Carta, S. Dwivedi, H. Hayashi, S.-S. Kim and F. Yagi,Exploring the orthosymplectic zoo,JHEP05(2022) 054 [2203.01951]

2022 arXiv
[18]

Akhond, F

M. Akhond, F. Carta, S. Dwivedi, H. Hayashi, S.-S. Kim and F. Yagi,Factorised 3dN= 4 orthosymplectic quivers,JHEP05(2021) 269 [2101.12235]

2021 arXiv
[19]

B. Feng, A. Hanany and Y.-H. He,Counting gauge invariants: the plethystic program,Journal of High Energy Physics2007(2007) 090–090

2007
[20]

Sperling and Z

M. Sperling and Z. Zhong,Balanced b and d-type orthosymplectic quivers — magnetic quivers for product theories,Journal of High Energy Physics2022(2022)

2022
[21]

Bourget, Q

A. Bourget, Q. Lamouret, S.M. Soys¨ uren and M. Sperling,Classification of minimal Abelian Coulomb branches,Phys. Rev. D111(2025) 125020 [2412.19766]. – 42 –

2025 arXiv
[22]

Bourget, Q

A. Bourget, Q. Lamouret, S. Moura Soys¨ uren and M. Sperling,Classifying Isolated Symplectic Singularities via 3dN= 4Coulomb Branches,2504.05373
[23]

Hanany, R

A. Hanany, R. Kalveks and G. Kumaran,Quiver polymerisation,JHEP11(2024) 168 [2406.11561]

2024 arXiv
[25]

Akhond and F

M. Akhond and F. Carta,Magnetic quivers from brane webs with O7 +-planes,JHEP10(2021) 014 [2107.09077]

2021 arXiv
[26]

Cabrera, A

S. Cabrera, A. Hanany and F. Yagi,Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling,JHEP01(2019) 068 [1810.01379]

2019 arXiv
[27]

Zafrir,Brane webs andO5-planes,JHEP03(2016) 109 [1512.08114]

G. Zafrir,Brane webs andO5-planes,JHEP03(2016) 109 [1512.08114]

2016 arXiv
[28]

Bourget, S

A. Bourget, S. Cabrera, J.F. Grimminger, A. Hanany and Z. Zhong,Brane Webs and Magnetic Quivers for SQCD,JHEP03(2020) 176 [1909.00667]

2020 arXiv
[29]

Gaiotto and E

D. Gaiotto and E. Witten,S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory,Adv. Theor. Math. Phys.13(2009) 721 [0807.3720]

2009 arXiv
[30]

Cabrera, A

S. Cabrera, A. Hanany and M. Sperling,Magnetic quivers, Higgs branches, and 6dN=(1,0) theories, JHEP06(2019) 071 [1904.12293]

2019 arXiv
[32]

Bennett, A

S. Bennett, A. Hanany, G. Kumaran and L. Mansi,Symmetry Mitosis and Hasse Diagram Diamonds: A Note on Brane Configurations withON 0 Planes,2601.10826
[33]

Distler, M.J

J. Distler, M.J. Kang and C. Lawrie,Distinguishing 6D (1, 0) SCFTs: An extension to the geometric construction,Phys. Rev. D106(2022) 066011 [2203.08829]

2022 arXiv
[34]

Barbasch and D.A.J

D.M. Barbasch and D.A.J. Vogan,The local structure of characters,Journal of Functional Analysis37 (1980) 27

1980
[35]

Barbasch and D

D. Barbasch and D. Vogan,Primitive ideals and orbital integrals in complex classical groups, Mathematische Annalen259(1982) 153

1982
[36]

Barbasch and D

D. Barbasch and D. Vogan,Primitive ideals and orbital integrals in complex exceptional groups,Journal of Algebra80(1983) 350

1983
[37]

Barbasch and D.A

D. Barbasch and D.A. Vogan,Unipotent representations of complex semisimple groups,Annals of Mathematics121(1985) 41

1985
[38]

Grimminger and A

J.F. Grimminger and A. Hanany,Hasse diagrams for 3dN= 4 quiver gauge theories — Inversion and the full moduli space,JHEP09(2020) 159 [2004.01675]

2020 arXiv
[39]

Hanany and R

A. Hanany and R. Kalveks,Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits, JHEP06(2016) 130 [1601.04020]

2016 arXiv
[40]

Cabrera and A

S. Cabrera and A. Hanany,Branes and the Kraft-Procesi transition: classical case,JHEP04(2018) 127 [1711.02378]

2018 arXiv
[41]

Ferlito and A

G. Ferlito and A. Hanany,A tale of two cones: the higgs branch of sp(n) theories with 2n flavours, 2016

2016
[42]

Bourget, J.F

A. Bourget, J.F. Grimminger, A. Hanany, R. Kalveks, M. Sperling and Z. Zhong,A tale of n cones, 2023

2023
[43]

Bennett, A

S. Bennett, A. Hanany, G. Kumaran, C. Li, D. Liu and M. Sperling,Quiver subtraction on the Higgs branch,Nucl. Phys. B1016(2025) 116917 [2409.16356]. – 43 –

2025 arXiv
[44]

Bourget, A

A. Bourget, A. Hanany and D. Miketa,Quiver origami: discrete gauging and folding,Journal of High Energy Physics2021(2021)

2021
[45]

Grimminger, W

J.F. Grimminger, W. Harding and N. Mekareeya,Wreathing, discrete gauging, and non-invertible symmetries, 2025

2025
[46]

Brylinski and B

R. Brylinski and B. Kostant,Nilpotent orbits, normality, and hamiltonian group actions,Journal of the American Mathematical Society7(1994) 269. – 44 –

1994

Pith tools

Reviewed August 15, 2026 · model on record in the stance chip above.

[1] [24]

Hanany, R

A. Hanany, R. Kalveks and G. Kumaran,Upcoming Work,

work page

[2] [1]

Seiberg,Five dimensional susy field theories, non-trivial fixed points and string dynamics,Physics Letters B388(1996) 753–760

N. Seiberg,Five dimensional susy field theories, non-trivial fixed points and string dynamics,Physics Letters B388(1996) 753–760

work page 1996

[3] [2]

Aharony, A

O. Aharony, A. Hanany and B. Kol,Webs of (¡i¿p¡/i¿,¡i¿q¡/i¿) 5-branes, five dimensional field theories and grid diagrams,Journal of High Energy Physics1998(1998) 002–002

work page 1998

[4] [3]

Zafrir,Brane webs and o5-planes,Journal of High Energy Physics2016(2016)

G. Zafrir,Brane webs and o5-planes,Journal of High Energy Physics2016(2016)

work page 2016

[5] [4]

Bergman and G

O. Bergman and G. Zafrir,5d fixed points from brane webs and o7-planes,Journal of High Energy Physics2015(2015) 1–30

work page 2015

[6] [5]

Zafrir,Brane webs, 5d gauge theories and 6dN= (1,0)scfts,Journal of High Energy Physics2015 (2015) 1–51

G. Zafrir,Brane webs, 5d gauge theories and 6dN= (1,0)scfts,Journal of High Energy Physics2015 (2015) 1–51

work page 2015

[7] [6]

Hayashi, S.-S

H. Hayashi, S.-S. Kim, K. Lee and F. Yagi,Dualities and 5-brane webs for 5d rank 2 SCFTs,JHEP12 (2018) 016 [1806.10569]

arXiv 2018

[8] [7]

Hayashi, S.-S

H. Hayashi, S.-S. Kim, K. Lee and F. Yagi,Rank-3 antisymmetric matter on 5-brane webs,JHEP05 (2019) 133 [1902.04754]

arXiv 2019