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.

arXiv comment58 pages, 6 figures; v2: typos corrected and references added

References in corpus (50)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Solutions Of Four-Dimensional Field Theories Via M Theory
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• Brane Dynamics and Gauge Theory
• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• On Geometry and Matrix Models
• The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD
• Branes And The Dynamics Of QCD
• Branes and N=1 Duality in String Theory
• Nekrasov Functions and Exact Bohr-Sommerfeld Integrals
• A Large N Duality via a Geometric Transition
• The Coulomb Phase of N=2 Supersymmetric QCD
• Dynamics of $SU(N)$ Supersymmetric Gauge Theory
• Four-Dimensional SCFTs from M5-Branes
• On the Quantum Moduli Space of Vacua of $N=2$ Supersymmetric $SU(N_c)$ Gauge Theories
• Darboux coordinates, Yang-Yang functional, and gauge theory
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• Brane Dynamics and N=1 Supersymmetric Gauge Theory
• Tinkertoys for Gaiotto Duality
• Phases of N=1 supersymmetric gauge theories in four dimensions
• Sicilian gauge theories and N=1 dualities
• Wild Quiver Gauge Theories
• Deformed Prepotential, Quantum Integrable System and Liouville Field Theory
• Hitchin systems, N=2 gauge theories and W-gravity
• Surface Defects and Resolvents
• Chiral Rings and Phases of Supersymmetric Gauge Theories
• New N=1 Dualities
• Bipartite Field Theories: from D-Brane Probes to Scattering Amplitudes
• Comments on the M Theory Approach to N=1 SQCD and Brane Dynamics
• Monopole Condensation and Confining Phase of N=1 Gauge Theories Via M Theory Fivebrane
• N=1 dynamics with T_N theory
• Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
• New Seiberg Dualities from N=2 Dualities
• An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2 Gauge Theories
• Network and Seiberg Duality
• N=1 Superpotentials from Multi-Instanton Calculus
• Massless Monopoles Via Confining Phase Superpotentials
• M Theory, Type IIA String and 4D N=1 SUSY SU(N_L) X SU(N_R) Gauge Theory
• M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
• Cubic curves from matrix models and generalized Konishi anomalies
• String Theory Origin of Bipartite SCFTs
• N=1 curves for trifundamentals
• Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
• Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential
• The Off-shell M5-brane and Non-Perturbative Gauge Theory
• Quivers via anomaly chains

Cited by in corpus (22)

• Quiver Tails and N=1 SCFTs from M5-branes
• A review of the T_N theory and its cousins
• Liberating Confinement from Lagrangians: 1-form Symmetries and Lines in 4d N=1 from 6d N=(2,0)
• Charting Class ${\mathcal{S}}_k$ Territory
• 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
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part I: Boundary/Junction Conditions
• Generalized Hitchin system, Spectral curve and N=1 dynamics
• A search for minimal 4d N=1 SCFT
• The moduli space of vacua of N=2 class S theories
• Four dimensional superconformal theories from M5 branes
• Surface defects as transfer matrices
• Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
• Instantons to the people: the power of one-form symmetries
• Infinitely many 4d N=1 SCFTs with a=c
• 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