Integrability in N=2 Gauge Theory: A Proof

Details Integrability in N=2 Gauge Theory: A Proof Integrability in N=2 Gauge Theory: A Proof

1995-11-08

arxiv.org/abs/hep-th/9511052v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, latex

Scientific paper

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 $\R$-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.

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