One-instanton test of the exact prepotential for N=2 SQCD coupled to a symmetric tensor hypermultiplet

TL;DR

This paper computes the one-instanton contribution to the prepotential in N=2 supersymmetric SU(N) gauge theory with specific matter content, confirming the exact solution derived from M-theory.

Contribution

It provides a direct instanton calculus verification of the exact prepotential in a class of N=2 SQCD theories with symmetric tensor hypermultiplets.

Findings

Complete agreement with the M-theory derived exact solution for asymptotically free cases.

Explicit evaluation of the one-instanton contribution using ADHM calculus.

Validation of the instanton calculus approach in theories with tensor hypermultiplets.

Abstract

Using the ADHM instanton calculus, we evaluate the one-instanton contribution to the low-energy effective prepotential of N=2 supersymmetric SU(N) Yang-Mills theory with N_F flavors of hypermultiplets in the fundamental representation and a hypermultiplet in the symmetric rank two tensor representation. For N_F<N-2, when the theory is asymptotically free, our result is compared with the exact solution that was obtained using M-theory and we find complete agreement.