M5 brane and four dimensional N=1 theories I

Abstract

Four dimensional N=1 theories are engineered by compactifying six dimensional (2,0) theory on a Riemann surface with regular punctures. A generalized Hitchin's equation involving two Higgs fields is proposed as the BPS equation for N=1 compactification. The puncture is interpreted as the singular boundary condition of this equation, and regular puncture is shown to be labeled by a nilpotent commuting pair. In this paper, we focus on a subset of regular puncture which is described by rotating branes representing N=2 puncture. As an application, we show that the Seiberg duality of SU(N) SQCD with Nf=2N and certain superpotential term is realized as different degeneration limits of the same punctured Riemann surface, and also find four more dual theories.

30 pages, 18 figures

References in corpus (13)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• 3d dualities from 4d dualities
• S-duality in N=2 supersymmetric gauge theories
• Four-Dimensional SCFTs from M5-Branes
• Mirrors of 3d Sicilian theories
• Tinkertoys for Gaiotto Duality
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Gauge Theory, Ramification, And The Geometric Langlands Program
• Electric-Magnetic Duality And The Geometric Langlands Program
• N=1 dynamics with T_N theory
• Branes, Calibrations and Supergravity
• Gaiotto Duality for the Twisted A_{2N-1} Series
• Generalized Hitchin system, Spectral curve and N=1 dynamics

Cited by in corpus (39)

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• Quiver Tails and N=1 SCFTs from M5-branes
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• A review of the T_N theory and its cousins
• Charting Class ${\mathcal{S}}_k$ Territory
• Liberating Confinement from Lagrangians: 1-form Symmetries and Lines in 4d N=1 from 6d N=(2,0)
• Defect $a$-Theorem and $a$-Maximization
• A slow review of the AGT correspondence
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Chiral theories of class S
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• New N=1 Dualities from M5-branes and Outer-automorphism Twists
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part I: Boundary/Junction Conditions
• Linear Quivers and N=1 SCFTs from M5-branes
• N=1 theories of class S_k
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Punctures for Theories of Class ${\mathcal{S}}_{\Gamma }$
• A search for minimal 4d N=1 SCFT
• Aspects of line operators of class S theories
• The moduli space of vacua of N=2 class S theories
• Four dimensional superconformal theories from M5 branes
• Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
• $\mathcal{N}=1$ superconformal theories with $D_N$ blocks
• Surface defects as transfer matrices
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Infinitely many 4d N=1 SCFTs with a=c
• Infinitely many N=1 dualities from $m+1-m=1$
• Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities
• Holographic Generalised Gukov-Witten Defects
• Punctures and Dynamical Systems
• Three dimensional Seiberg-like duality and tropical cluster algebra
• The Geometry of SUSY Enhancement
• Theories of Class S and New N=1 SCFTs
• New Dualities and Misleading Anomaly Matchings from Outer-automorphism Twists
• A study of N =1 SCFT derived from N =2 SCFT: index and chiral ring
• Instantons on Calabi-Yau and hyper-Kähler cones
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings