New N=1 Dualities from M5-branes and Outer-automorphism Twists

Abstract

We generalize recent construction of four-dimensional $\mathcal{N}=1$ SCFT from wrapping six-dimensional $\mathcal{N}=(2,0)$ theory on a Riemann surface to the case of $D$-type with outer-automorphism twists. This construction allows us to build various dual theories for a class of $\mathcal{N}=1$ quiver theories of $SO-USp$ type. In particular, we find there are five dual frames to $SO(2N)/USp(2N-2)/G_2$ gauge theories with $(4N-4)/4N/8$ fundamental flavors, where three of them are non-Lagrangian. We check the dualities by computing the anomaly coefficients and the superconformal indices. In the process we verify that the index of $D_4$ theory on a certain three punctured sphere with $Z_2$ and $Z_3$ twist lines exhibits the expected symmetry enhancement from $G_2\times USp(6)$ to $E_7$.

56 pages, 29 colored figures; v2: minor corrections, references added

References in corpus (15)

• S-duality in N=2 supersymmetric gauge theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Four-Dimensional SCFTs from M5-Branes
• Tinkertoys for Gaiotto Duality
• Exceptional Deconfinement in G(2) Gauge Theory
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Tinkertoys for the Twisted D-Series
• M5 brane and four dimensional N=1 theories I
• N=1 dynamics with T_N theory
• Gaiotto Duality for the Twisted A_{2N-1} Series
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Linear Quivers and N=1 SCFTs from M5-branes
• N=1 Geometries via M-theory
• Generalized Hitchin system, Spectral curve and N=1 dynamics

Cited by in corpus (27)

• N=1 Deformations and RG Flows of N=2 SCFTs
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Quiver Tails and N=1 SCFTs from M5-branes
• A review of the T_N theory and its cousins
• Tinkertoys for the Z3-twisted D4 Theory
• Charting Class ${\mathcal{S}}_k$ Territory
• A slow review of the AGT correspondence
• A "Lagrangian" for the E7 Superconformal Theory
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• Chiral theories of class S
• N=1 theories of class S_k
• Four dimensional superconformal theories from M5 branes
• $\mathcal{N}=1$ superconformal theories with $D_N$ blocks
• Infrared enhancement of supersymmetry in four dimensions
• Surface defects as transfer matrices
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Infinitely many N=1 dualities from $m+1-m=1$
• Nilpotent Networks and 4D RG Flows
• New Dualities and Misleading Anomaly Matchings from Outer-automorphism Twists
• Twisted chiral algebras of class $\mathcal{S}$ and mixed Feigin-Frenkel gluing
• Theories of Class S and New N=1 SCFTs
• The braneology of 3D dualities
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings