Non-perturbative aspects of gauge/gravity duality

TL;DR

This paper explores the non-perturbative features of gauge/gravity duality by deriving the supergravity profile of a twisted scalar field emitted by fractional D3-branes, incorporating instanton corrections and relating it to the gauge coupling.

Contribution

It provides a microscopic derivation of the non-perturbative supergravity profile for the twisted scalar in an N=2 SU(2) gauge theory with four flavors, including D-instanton effects.

Findings

Twisted scalar profile expressed via gauge theory chiral ring elements.

Non-perturbative gauge coupling related to the scalar profile in a modified way.

Inclusion of D-instanton corrections enhances understanding of gauge/gravity duality.

Abstract

Recently we provided a microscopic derivation of the exact supergravity profile for the twisted scalar field emitted by systems of fractional D3-branes at a Z2 orbifold singularity. In this contribution we focus on a set-up supporting an N = 2 SYM theory with SU(2) gauge group and Nf=4. We take into account the tower of D-instanton corrections to the source terms for the twisted scalar and find that its profile can be expressed in terms of the chiral ring elements of the gauge theory. We show how the twisted scalar, which at the perturbative level represents the gravity counterpart of the gauge coupling, at the non-perturbative level is related to the effective gauge coupling in an interestingly modified way.