Instanton test of non-supersymmetric deformations of the AdS_5 x S^5

TL;DR

This paper uses instanton effects in a non-supersymmetric gauge theory, derived from deformations of N=4 SYM, to predict the dilaton-axion field in the dual string theory, confirming supergravity results in small deformation limits.

Contribution

It provides a novel instanton-based approach to connect non-supersymmetric gauge theories with their string duals, extending the AdS/CFT correspondence.

Findings

Instanton calculations match supergravity predictions for small deformations.

The approach offers a new way to study non-supersymmetric gauge/string dualities.

Results support the validity of the duality beyond supersymmetric cases.

Abstract

We consider instanton effects in a non-supersymmetric gauge theory obtained by marginal deformations of the N=4 SYM. This gauge theory is expected to be dual to type IIB string theory on the AdS_5 times deformed-S^5 background. From an instanton calculation in the deformed gauge theory we extract the prediction for the dilaton-axion field \tau in dual string theory. In the limit of small deformations where the supergravity regime is valid, our instanton result reproduces the expression for \tau of the supergravity solution found by Frolov.