Integrability in N=2 Gauge Theory: A Proof

Abstract

The holomorphic prepotential of ultraviolet finite N=2 supersymmetric gauge theories is obtained by a partial twisting of N=1 gauge theory in six dimensions, compactified on $\IR^4\timesT^2$. We show that Ward identities for the conserved chiral $\mathbb{R}$-symmetry in these theories generate a set of constraints on the correlation functions of chiral ring operators. These correlators depend only on the coordinates of the $T^2$, and the constraints are analogs of the Knihnik-Zamolodchikov-Bernard equations at the critical level.

12 pages, latex

References in corpus (5)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Supersymmetric Yang-Mills Systems And Integrable Systems
• Integrable systems and supersymmetric gauge theory
• Topological Reduction of 4D SYM to 2D $\sigma$--Models
• Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory

Cited by in corpus (5)

• $(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
• New Results from Glueball Superpotentials and Matrix Models: the Leigh-Strassler Deformation
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Partition function of N=2* SYM on a large four-sphere
• Integrability, Jacobians and Calabi-Yau Threefolds