Generalized Hitchin system, Spectral curve and N=1 dynamics

Abstract

A generalized Hitchin equation was proposed as the BPS equation for a large class of four dimensional N=1 theories engineered using M5 branes. In this paper, we show how to write down the spectral curve for the moduli space of generalized Hitchin equations, and extract interesting N=1 dynamics out of it, such as deformed modui space, chiral ring relation, SUSY breaking, etc. Holomorphy plays a crucial role in our construction.

29 pages, 2 figures. v2:Published version

References in corpus (5)

• Four-Dimensional SCFTs from M5-Branes
• Surface Defects and Resolvents
• N=1 dynamics with T_N theory
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• N=1 Geometries via M-theory

Cited by in corpus (18)

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• M5 brane and four dimensional N=1 theories I
• 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)
• A slow review of the AGT correspondence
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Chiral theories of class S
• New N=1 Dualities from M5-branes and Outer-automorphism Twists
• A search for minimal 4d N=1 SCFT
• Four dimensional superconformal theories from M5 branes
• The moduli space of vacua of N=2 class S theories
• Infinitely many 4d N=1 SCFTs with a=c
• $\mathcal{N}=1$ Curves on Generalized Coulomb Branches
• The Geometry of SUSY Enhancement
• Higgs bundles twisted by a vector bundle