Gauge Dual and Noncommutative Extension of an N=2 Supergravity Solution

TL;DR

This paper analyzes a supergravity solution dual to an N=2 gauge theory, exploring its properties, moduli space, and noncommutative extension, with implications for understanding gauge/gravity duality in less supersymmetric settings.

Contribution

It provides a detailed study of the Pilch-Warner supergravity solution, including its moduli space, the effects of a B-field, and the extension to noncommutative N=2 theories, advancing the understanding of gauge/gravity duality.

Findings

Probe moduli space matches expectations for N=2 theories

Enhancon locus is a line rather than a ring in this solution

Noncommutative extension of the supergravity dual achieved

Abstract

We investigate some properties of a recent supergravity solution of Pilch and Warner, which is dual to the N=4 gauge theory softly broken to N=2. We verify that a D3-brane probe has the expected moduli space and its effective action can be brought to N=2 form. The kinetic term for the probe vanishes on an enhancon locus, as in earlier work on large-n N=2 theories, though for the Pilch-Warner solution this locus is a line rather than a ring. On the gauge theory side we find that the probe metric can be obtained from a perturbative one-loop calculation; this principle may be useful in obtaining the supergravity dual at more general points in the N=2 gauge theory moduli space. We then turn on a B-field, following earlier work on the N=4 theory, to obtain the supergravity dual to the noncommutative N=2 theory.