Supersymmetric and nonsupersymmetric perturbations to KT

TL;DR

This paper investigates how different linearized perturbations to the Klebanov-Tseytlin background affect supersymmetry, showing that specific perturbations can break or preserve supersymmetry based on geometric squashing.

Contribution

It identifies conditions under which perturbations preserve or break supersymmetry in cascading gauge theories using the KT background.

Findings

Generic perturbations break supersymmetry and cause dilaton running.

Special perturbations that avoid squashing preserve supersymmetry.

Back reaction of perturbations influences the geometry and supersymmetry status.

Abstract

We studied the supersymmetric and non-supersymmetric perturbations to cascading gauge theory. In particular we use KT background and the back reaction of the generic linearized perturbation make the dilaton to run and the $T^{(1,1)}$ gets squashed which in turn make the supersymmetry to be broken. But if we make a special linearized perturbation in such way that the $T^{(1,1)}$ is not squashed then the corresponding perturbation preserve supersymmetry.