q-form global symmetries generalize ordinary symmetries to higher-dimensional charged objects, leading to new rules for amplitudes, gauging, breaking, and anomaly inflow in quantum field theories.
Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
10 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long distance physics. The quarks and gluons of one theory can be interpreted as solitons (non-Abelian magnetic monopoles) of the elementary fields of the other theory. The weak coupling region of one theory is mapped to a strong coupling region of the other. When one of the theories is Higgsed by an expectation value of a squark, the other theory is confined. Massless glueballs, baryons and Abelian magnetic monopoles in the confining description are the weakly coupled elementary quarks (i.e.\ solitons of the confined quarks) in the dual Higgs description.
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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.
Fano lattice polygons define balanced quivers linked to toric surface singularities, placing them on algebraic hypersurfaces with a coinciding generalized mutation operation.
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.
A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.
Constrained instantons satisfy all boundary conditions consistently in massive φ⁴ and broken Yang-Mills theories when asymptotic behaviors are tracked properly, resolving a prior claimed inconsistency.
Computes boundary-to-boundary elliptic kernels via localization for 4d N=1 theories and proves rank-changing Seiberg dualities as Jeffrey-Kirwan residue identities.
Nilpotent-direction analysis on the moduli space supports duality for W_{A_k} superpotentials but shows the duality conjecture fails for W_{D_{k+2}} models in N=1 SUSY gauge theories.
Neural networks classify Seiberg dual classes on Z_m x Z_n orbifolds with R^2=0.988 and predict toric multiplicities for Y^{6,0} with mean absolute error 0.021 under fixed Kasteleyn representative.
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.
citing papers explorer
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Generalized Global Symmetries
q-form global symmetries generalize ordinary symmetries to higher-dimensional charged objects, leading to new rules for amplitudes, gauging, breaking, and anomaly inflow in quantum field theories.
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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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Polygonal Quivers
Fano lattice polygons define balanced quivers linked to toric surface singularities, placing them on algebraic hypersurfaces with a coinciding generalized mutation operation.
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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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Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$
A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.
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A Closer Look at Constrained Instantons
Constrained instantons satisfy all boundary conditions consistently in massive φ⁴ and broken Yang-Mills theories when asymptotic behaviors are tracked properly, resolving a prior claimed inconsistency.
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Localization, Factorization and Dualities for Elliptic Kernels
Computes boundary-to-boundary elliptic kernels via localization for 4d N=1 theories and proves rank-changing Seiberg dualities as Jeffrey-Kirwan residue identities.
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The Potency of Nilpotence
Nilpotent-direction analysis on the moduli space supports duality for W_{A_k} superpotentials but shows the duality conjecture fails for W_{D_{k+2}} models in N=1 SUSY gauge theories.
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Machine Learning Toric Duality in Brane Tilings
Neural networks classify Seiberg dual classes on Z_m x Z_n orbifolds with R^2=0.988 and predict toric multiplicities for Y^{6,0} with mean absolute error 0.021 under fixed Kasteleyn representative.
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Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.