An orientifold of adS_5xT^11 with D7-branes, the associated alpha'^2- corrections and their role in the dual N=1 Sp(2N+2M)xSp(2N) gauge theory

TL;DR

This paper investigates the gravity dual of a specific N=1 supersymmetric gauge theory, analyzing alpha'^2 corrections in the presence of D7-branes and orientifolds, and their impact on dual gauge theory properties.

Contribution

It provides a detailed analysis of alpha'^2 corrections in the gravity dual of an orientifolded AdS_5xT^11 background with D7-branes, linking these corrections to anomalous dimensions in the dual gauge theory.

Findings

Alpha'^2 corrections vanish in the conformal case (M=0).

Corrections modify anomalous dimensions in the cascading (M≠0) case.

The study connects supergravity corrections to gauge theory anomalous dimensions.

Abstract

We study the N=1 Sp(2N+2M)xSp(2N) gauge theory on a stack of N physical and M fractional D3-branes in the background of an orientifolded conifold. The gravity dual is a type IIB orientifold of adS_5xT^11 (with certain background fluxes turned on) containing an O7-plane and 8 D7-branes. In the conformal case (M=0), we argue that the alpha'^2-corrections localized on the 8 D7-branes and the O7-plane should give vanishing contributions to the supergravity equations of motion for the bulk fields. In the cascading case (M not equal to 0), we argue that the alpha'^2-terms give rise to corrections which in the dual Sp(2N+2M)xSp(2N) gauge theory can be interpreted as corrections to the anomalous dimensions of the matter fields.