Integrability and Seiberg-Witten theory

Abstract

A summary of results is presented, which provide exact description of the low-energy $4d$ $N=2$ and $N=4$ SUSY gauge theories in terms of $1d$ integrable systems.

21 pages, talk given by A.M. in the conference `` Frontiers in Quantum Field Theory'' in honor of Professor Keiji Kikkawa's 60th birthday

References in corpus (7)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Supersymmetric Yang-Mills Systems And Integrable Systems
• Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications
• Prepotentials of $N=2$ Supersymmetric Gauge Theories and Soliton Equations
• On the Relation Between the Holomorphic Prepotential and the Quantum Moduli in SUSY Gauge Theories
• Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory
• Integrable Structures in Supersymmetric Gauge and String Theory

Cited by in corpus (21)

• Nekrasov Functions and Exact Bohr-Sommerfeld Integrals
• Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
• Deformed Prepotential, Quantum Integrable System and Liouville Field Theory
• Instantons and Merons in Matrix Models
• Classification of 4d N=2 gauge theories
• The matrix model version of AGT conjecture and CIV-DV prepotential
• $N=2$ Super Yang-Mills and Subgroups of $SL(2,Z)$
• Check of AGT Relation for Conformal Blocks on Sphere
• Seiberg-Witten Geometries Revisited
• Prepotential of N=2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet
• Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N) Gauge Model
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• On 2d TQFTs whose values are holomorphic symplectic varieties
• Euler-Calogero-Moser system from SU(2) Yang-Mills theory
• Integrable Hierarchies and Contact Terms in u-plane Integrals of Topologically Twisted Supersymmetric Gauge Theories
• Integrable structure in supersymmetric gauge theories with massive hypermultiplets
• Matching branches of non-perturbative conformal block at its singularity divisor
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Charges of dyons in N=2 supersymmetric gauge theory
• Elliptic solutions to the KP hierarchy and elliptic Calogero-Moser model