N=1 Geometries via M-theory

Abstract

We provide an M-theory geometric set-up to describe four-dimensional N=1 gauge theories. This is realized by a generalization of Hitchin's equation. This framework encompasses a rich class of theories including superconformal and confining ones. We show how the spectral data of the generalized Hitchin's system encode the infrared properties of the gauge theory in terms of N=1 curves. For N=1 deformations of N=2 theories in class S, we show how the superpotential is encoded in an appropriate choice of boundary conditions at the marked points in different S-duality frames. We elucidate our approach in a number of cases -- including Argyres-Douglas points, confining phases and gaugings of T_N theories -- and display new results for linear and generalized quivers.

58 pages, 6 figures; v2: typos corrected and references added

References in corpus (3)

• Four-Dimensional SCFTs from M5-Branes
• Tinkertoys for Gaiotto Duality
• Surface Defects and Resolvents

Cited by in corpus (22)

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• Chiral theories of class S
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• Generalized Hitchin system, Spectral curve and N=1 dynamics
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• Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
• Instantons to the people: the power of one-form symmetries
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• Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities
• $\mathcal{N}=1$ Curves on Generalized Coulomb Branches
• Permutations of Massive Vacua
• The Geometry of SUSY Enhancement