New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions

Abstract

We propose some new infra-red dualities for $2d$ $\mathcal{N}=(0,2)$ theories. The first one relates a $USp(2N)$ gauge theory with one antisymmetric chiral, four fundamental chirals and $N$ Fermi singlets to a Landau-Ginzburg model of $N$ Fermi and $6N$ chiral fields with cubic interactions. The second one relates $SU(2)$ linear quiver gauge theories of arbitrary length $N-1$ with the addition of $N$ Fermi singlets for any non-negative integer $N$. They can be understood as a generalization of the duality between an $SU(2)$ gauge theory with four fundamental chirals and a Landau-Ginzburg model of one Fermi and six chirals with a cubic interaction. We derive these dualities from already known $4d$ $\mathcal{N}=1$ dualities by compactifications on ${\mathbb{S}}^2$ with suitable topological twists and we further test them by matching anomalies and elliptic genera. We also show how to derive them by iterative applications of some more fundamental dualities, in analogy with similar derivations for parent dualities in three and four dimensions.

arXiv comment38 pages, 11 figures; v2: typo correction; v3: revised version, published on JHEP

References in corpus (53)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Mirror Symmetry in Three Dimensional Gauge Theories
• The Exact Superconformal R-Symmetry Maximizes a
• Mirror Manifolds And Topological Field Theory
• Elliptic genera of 2d N=2 gauge theories
• Localization techniques in quantum field theories
• 3d dualities from 4d dualities
• On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• A topologically twisted index for three-dimensional supersymmetric theories
• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Nonperturbative Tests of Three-Dimensional Dualities
• Aspects of Non-Abelian Gauge Dynamics in Two-Dimensional N=(2,2) Theories
• Exact two-dimensional superconformal R-symmetry and c-extremization
• 2d Index and Surface operators
• 3d dualities from 4d dualities for orthogonal groups
• Walls, Lines, and Spectral Dualities in 3d Gauge Theories
• (0,2) Trialities
• Dual Boundary Conditions in 3d SCFT's
• The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and Supersymmetric Localization
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Superconformal indices for N=1 theories with multiple duals
• SUSY monopole potentials in 2+1 dimensions
• An E7 Surprise
• $(0,4)$ dualities
• Exact Results and Duality for SP(2N) SUSY Gauge Theories with an Antisymmetric Tensor
• Rank $Q$ E-string on a torus with flux
• On the reduction of 4d N=1 theories on S^2
• Mirror Symmetry in 2+1 and 1+1 Dimensions
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Self-Dual N=1 SUSY Gauge Theories
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• From 3d dualities to 2d free field correlators and back
• The long flow to freedom
• (0,2) Dynamics From Four Dimensions
• A tale of exceptional 3d dualities
• 3d dualities from 2d free field correlators: recombination and rank stabilization
• From 3d duality to 2d duality
• Supersymmetric localization in two dimensions
• Transformations of elliptic hypergometric integrals
• A 2d (0,2) appetizer
• Supersymmetric index on T^2 x S^2 and elliptic genus
• Curious patterns of IR symmetry enhancement
• Elliptic Selberg integrals
• Localization for nonabelian group actions
• Between symmetry and duality in supersymmetric QFT
• Flips, dualities and symmetry enhancements
• E_8 orbits of IR dualities
• Symmetry enhancement and duality walls in 5d gauge theories
• Lectures on 4d N=1 dynamics and related topics
• Trialities of minimally supersymmetric 2d gauge theories

Cited by in corpus (12)

• Comments on Symmetric Mass Generation in 2d and 4d
• Dualities from dualities: the sequential deconfinement technique
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• Star-triangle type relations from $2d$ $\mathcal{N}=(0,2)$ $USp(2N)$ dualities
• 3d exceptional gauge theories and boundary confinement
• Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs
• 2d dualities from 4d
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Supersymmetric zeta functions and determinants
• Aspects of 4d supersymmetric dynamics and geometry