Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations

TL;DR

This paper investigates how gamma-deformations of gravity duals of N=1 SYM influence universal and non-universal features, using a Penrose limit to analyze the IR dynamics of KK-hadrons and showing the Hagedorn temperature's independence from deformation.

Contribution

It provides a concrete analysis of the effects of gamma-deformations on the gravity duals of N=1 SYM, especially in the IR regime, through an exactly solvable pp-wave model.

Findings

The spectrum of the deformed background is exactly solvable.

The Hagedorn temperature remains unaffected by the gamma-deformation.

The study links gravity background deformations to non-universal gauge theory features.

Abstract

Recently, a one-parameter deformation of the Maldacena-Nunez dual of the N=1 SYM theory was constructed in hep-th/0505100. According to the Lunin-Maldacena conjecture, the background is dual to pure N=1 SYM in the IR coupled to a KK sector whose dynamics is altered by a dipole deformation that is proportional to the deformation parameter gamma. Thus, the deformation serves to identify the aspects of the gravity backgrounds that bear the effects of the KK sector, hence non-universal in the dual gauge theory. We make this idea concrete by studying a Penrose limit of the deformed MN theory. We obtain an exactly solvable pp-wave that is conjectured to describe the IR dynamics of KK-hadrons in the field theory. The spectrum, the thermal partition function and the Hagedorn temperature are calculated. The Hagedorn temperature turns out to be independent of the deformation parameter.