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Branes, Superpotentials and Superconformal Fixed Points
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We analyze various brane configurations corresponding to field theories in three, four and five dimensions. We find brane configurations which correspond to three dimensional N=2 and four dimensional N=1 supersymmetric QCD theories with quartic superpotentials, in which what appear to be ``hidden parameters'' play an important role. We discuss the construction of five dimensional N=1 supersymmetric gauge theories and superconformal fixed points using branes, which leads to new five dimensional N=1 superconformal field theories. The same five dimensional theories are also used, in a surprising way, to describe new superconformal fixed points of three dimensional N=2 supersymmetric theories, which have both ``electric'' and ``magnetic'' Coulomb branches.
Forward citations
Cited by 22 Pith papers
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Exact results for 5d SCFTs of long quiver type
Analytic saddle-point solutions of the squashed S5 localization matrix model yield exact large-N free energies for long-quiver 5d SCFTs, matching holographic predictions.
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Towards Generalized Dimers for GTPs: $\mathcal{N}=2$ Fractional Branes at Infinite Coupling
N=2 strip condensation — collapsing parallel zig-zag strips in brane tilings — reproduces the expected number of gauge groups and yields GTP quivers related to toric ones by relevant deformations.
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5d Higgs Branches: Stratifications from Geometry
Dynamical complex structure deformations of non-compact Calabi-Yau threefolds with non-isolated singularities reproduce the full Higgs branch stratification of 5d SCFTs, matching magnetic quiver predictions.
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Generalised global symmetries in 5d $\mathcal{N}=1$ theories from the blow-up equations
Fractional exponents of the blow-up prefactor exp(-V_n) on 1-form backgrounds encode cubic and mixed anomalies of 5d N=1 SCFTs, deciding 2-groups versus mixed anomalies once the faithful UV symmetry is known from the index.
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5d Trinions and Tetraons
The authors construct 5d SCFT trinions and tetraons with D flavor symmetry via M-theory, producing non-linear quivers with instanton symmetry enhancement and ruling out E-type cases.
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$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves
Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.
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Shell formulas for instantons and gauge origami
A new shell formula unifies and delivers explicit closed-form expressions plus recursions for instanton partition functions in 5d SYM and multiple gauge origami configurations using arbitrary-dimensional Young diagrams.
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Remarks on the Higgs Branch of 5d Conformal Matter
The Higgs branches of 5d conformal matter atoms and molecules are computed via magnetic quivers and class-S circle reductions, with matching dimensions across the two methods.
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Five-brane webs, 3d $\mathcal{N}=2$ theories and quantum curves
The Newton polygon of the quantum curve for a 3d N=2 brane configuration is conjectured to equal the toric diagram dual to its (p,q) 5-brane web, with derivations for Lagrangian cases and new matrix models for p>=2.
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O-vertex, O7$^+$-plane, and Topological Vertex
A new O7+ topological vertex formalism, based on O7+ ~ Z2 + 4 D7, reproduces the SO(2N) instanton partition function previously computed from O5-plane webs.
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Quantum corrections to DGKT and the Weak Gravity Conjecture
Quantum corrections from gaugino condensation and D2 instantons lift the DGKT D4-brane moduli space, making the branes self-attractive and putting the vacuum in tension with the membrane WGC.
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Symmetry TFTs from String Theory
Constructs Symmetry TFTs for M-theory compactifications by reducing the topological sector of 11d supergravity on the boundary of X using differential cohomology, with applications to 7d SYM and 5d SCFTs confirmed via...
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Brane Webs and Magnetic Quivers for SQCD
The reduced Higgs branch of SU(Nc) SQCD with Nf flavors is a union of mesonic and baryonic cones, each the Coulomb branch of a magnetic quiver read from a five-brane web.
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Instantons from Blow-up
The instanton partition function of many 4d N=2 and 5d N=1 gauge theories is fully determined by the perturbative part via generalized Nakajima-Yoshioka blowup equations.
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Higgsing and Twisting of 6d $D_N$ gauge theories
The authors construct 5-brane webs for 6d SO(N) SCFTs on -2 and -3 curves and propose webs for Z2-twisted compactifications using Higgs vevs of KK-momentum charged scalars.
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The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
Partial Higgsing patterns of supersymmetric gauge theories match the Hasse diagrams of symplectic leaf closures of their Higgs branches, and these diagrams can be computed using magnetic quivers and quiver subtraction.
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Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings
Three families of tilting mutations on brane tilings produce quiver-invariant dualities, linking five doublets and one triplet of toric phases of H^{1,1,2,1}.
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Thermodynamic limit for SO(2N) gauge theories with spinors/conjugate spinors
The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).
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Towards OSV in AdS
Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
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Overlooking 3d dualities from mezzanines and balconies
New 3d dualities are obtained by T-duality reduction of 4d mezzanine and balcony models, with partition function matching after double scaling limit and a proof of required confining dualities via tensor deconfinement.
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Heterotic Ouroboros
The seven non-supersymmetric heterotic strings are re-derived from M-theory on S^1∨S^1 via an 'ouroboros' type I' configuration whose rules are fitted to reproduce the known spectra; new junctions among the theories a...
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A Crash Course in Supersymmetric Field Theory Across Dimensions
Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.
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