Constructs non-invertible duality defects for one-form symmetries in 3+1D by partial gauging, derives fusion rules, proves incompatibility with trivial gapped phases, and realizes explicitly in Maxwell theory and lattice models.
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S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
Canonical reference. 90% of citing Pith papers cite this work as background.
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abstract
By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N=4 super Yang-Mills theory. In the process, we find that S-duality of boundary conditions is closely related to mirror symmetry of three-dimensional gauge theories, and we analyze the IR behavior of large classes of quiver gauge theories.
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representative citing papers
Develops an algorithmic construction of the full SL(2,Z) duality web for unitary circular quivers in 3d N=4 theories using QFT blocks, deriving mirror symmetry for good cases and providing index-matching evidence for bad cases.
A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.
Double quasi-Poisson brackets on associative algebras with involutive anti-automorphisms induce quasi-Poisson structures on twisted representation spaces over arbitrary semisimple bases, with applications to twisted quiver varieties and Hopf algebras with Fox pairings.
Constructs non-invertible duality defects in (2+1)d QFTs from half-spacetime gauging of 2-group symmetries and derives explicit fusion rules with examples in U(1)^3 gauge theories.
A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.
A refined 3D index is defined by adding flavor symmetry gradings to the superconformal index of T[M], yielding an explicit infinite-sum formula from Dehn surgery that is claimed to be a strictly stronger invariant than the standard 3D index.
D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collapsing mechanism.
Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.
Constructs two vertex superalgebras chiralizing extended quiver varieties and establishes a map between them with vanishing and injectivity results under technical assumptions.
Characterizes solutions to BPS equations for D4-branes ending on boundary D6-branes in A_{K-1} circular quivers, finding a winding phenomenon absent in linear quivers and proposing the maximal-winding case as S-dual to Neumann boundary conditions.
A 3D N=4 gauge theory is built via U(1) gauging whose Higgs branch matches a known symplectic singularity, with a proposed non-simply laced magnetic quiver mirror validated through standard 3D mirror symmetry tests.
Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
Exact quarter-indices for basic ortho-symplectic corners in N=4 SYM are obtained in closed form, proven equal under duality, and interpreted as vacuum characters of BCD W-algebras and osp(1|2N) VOAs.
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
Proposes conjectural central charge formulas for 2d N=(0,4) theories from class S reductions and verifies agreement via Hilbert series on special and twisted Higgs branches for SU(2) cases.
Monodromy defects in Maxwell theory are analyzed via mapping to hyperbolic space, recovering the defect primary spectrum and showing that Wilson/'t Hooft lines terminate on defects, become decomposable, and follow Chern-Simons topological behavior.
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
A review summarizing advancements over the past two years that link DESI baryon acoustic oscillation data to string-inspired scenarios with dynamic dark energy.
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.
citing papers explorer
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Non-Invertible Duality Defects in 3+1 Dimensions
Constructs non-invertible duality defects for one-form symmetries in 3+1D by partial gauging, derives fusion rules, proves incompatibility with trivial gapped phases, and realizes explicitly in Maxwell theory and lattice models.
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Algorithmic Dualization of Unitary Circular Quivers
Develops an algorithmic construction of the full SL(2,Z) duality web for unitary circular quivers in 3d N=4 theories using QFT blocks, deriving mirror symmetry for good cases and providing index-matching evidence for bad cases.
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Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM
A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.
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Quasi-Poisson varieties from double quasi-Poisson algebras in types $B,C,D$
Double quasi-Poisson brackets on associative algebras with involutive anti-automorphisms induce quasi-Poisson structures on twisted representation spaces over arbitrary semisimple bases, with applications to twisted quiver varieties and Hopf algebras with Fox pairings.
-
Half-Spacetime Gauging of 2-Group Symmetry in 3d
Constructs non-invertible duality defects in (2+1)d QFTs from half-spacetime gauging of 2-group symmetries and derives explicit fusion rules with examples in U(1)^3 gauge theories.
-
Orthosymplectic Chern-Simons Matter Theories: Global Forms, Dualities, and Vacua
A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.
-
Refined 3D index
A refined 3D index is defined by adding flavor symmetry gradings to the superconformal index of T[M], yielding an explicit infinite-sum formula from Dehn surgery that is claimed to be a strictly stronger invariant than the standard 3D index.
-
D2-brane probes of non-toric cDV threefolds via monopole superpotentials
D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collapsing mechanism.
-
Axions on de Sitter space
Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.
-
Chiralization of Quiver Varieties
Constructs two vertex superalgebras chiralizing extended quiver varieties and establishes a map between them with vanishing and injectivity results under technical assumptions.
-
A class of half-BPS boundary conditions for $A_{K-1}$ circular quivers
Characterizes solutions to BPS equations for D4-branes ending on boundary D6-branes in A_{K-1} circular quivers, finding a winding phenomenon absent in linear quivers and proposing the maximal-winding case as S-dual to Neumann boundary conditions.
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A Tale of Two Orbits: Non-Simply Laced Mirror
A 3D N=4 gauge theory is built via U(1) gauging whose Higgs branch matches a known symplectic singularity, with a proposed non-simply laced magnetic quiver mirror validated through standard 3D mirror symmetry tests.
-
Conformal Bootstrap with Duality-Inspired Fusion Rule
Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.
-
Quiver Yangians as Coulomb branch algebras
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
-
Quarter-indices for basic ortho-symplectic corners
Exact quarter-indices for basic ortho-symplectic corners in N=4 SYM are obtained in closed form, proven equal under duality, and interpreted as vacuum characters of BCD W-algebras and osp(1|2N) VOAs.
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On non-relativistic integrable models and 4d SCFTs
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
-
Central Charges and Vacuum Moduli of 2d $\mathcal{N}=(0,4)$ Theories from Class $\mathcal{S}$
Proposes conjectural central charge formulas for 2d N=(0,4) theories from class S reductions and verifies agreement via Hilbert series on special and twisted Higgs branches for SU(2) cases.
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Monodromy Defects for Electric-Magnetic Duality, Hyperbolic Space, and Lines
Monodromy defects in Maxwell theory are analyzed via mapping to hyperbolic space, recovering the defect primary spectrum and showing that Wilson/'t Hooft lines terminate on defects, become decomposable, and follow Chern-Simons topological behavior.
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Consistent Truncations from Duality Symmetries and Desingularization of Orbifold Uplifts
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.
-
Universalities of Defects in Quantum Field Theories
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.
-
What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
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Breaking Free from the Swampland of Impossible Universes through the DESI Portal
A review summarizing advancements over the past two years that link DESI baryon acoustic oscillation data to string-inspired scenarios with dynamic dark energy.
-
Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.