2d dualities from 4d

Abstract

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian gauge theories, as well as $\mathcal{N}=(0,2)$ Gauge/Landau-Ginzburg duality.

32 pages + appendices, 20 Figures, 6 Tables; v2 Major revision by expanding Section 3 with more (0,2) dualities and trialities; v3 Minor revision by correcting superpotentials of some theories and by adding more explanations

References in corpus (32)

• N=2 dualities
• Infinite Chiral Symmetry in Four Dimensions
• Partition functions of N=(2,2) gauge theories on S^2 and vortices
• Elliptic genera of 2d N=2 gauge theories
• Exact Results in D=2 Supersymmetric Gauge Theories
• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Aspects of Non-Abelian Gauge Dynamics in Two-Dimensional N=(2,2) Theories
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Exact Kahler Potential from Gauge Theory and Mirror Symmetry
• (0,2) Trialities
• The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and Supersymmetric Localization
• Toric reduction and a conjecture of Batyrev and Materov
• VOAs labelled by complex reflection groups and 4d SCFTs
• 2d (0,2) Quiver Gauge Theories and D-Branes
• $(0,4)$ dualities
• Cluster algebras from dualities of 2d N=(2,2) quiver gauge theories
• On the reduction of 4d N=1 theories on S^2
• Brane Box Realization of Chiral Gauge Theories in Two Dimensions
• Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers
• The long flow to freedom
• Notes on nonabelian (0,2) theories and dualities
• D-Branes and Quotient Singularities of Calabi-Yau Fourfolds
• Supersymmetric localization in two dimensions
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• Quiver gauge theories and integrable lattice models
• A 2d (0,2) appetizer
• Defects, modular differential equations, and free field realization of N = 4 VOAs
• Hori-mological projective duality
• Hidden exceptional symmetry in the pure spinor superstring
• Star-triangle type relations from $2d$ $\mathcal{N}=(0,2)$ $USp(2N)$ dualities
• Mirror Symmetry

Cited by in corpus (1)

• Supersymmetric zeta functions and determinants