On supersymmetry and other properties of a class of marginally deformed backgrounds

TL;DR

This paper explores supergravity backgrounds related to deformed N=4 Yang-Mills theories, analyzing their properties such as confinement and supersymmetry, and provides explicit solutions for Killing spinor equations in the superconformal limit.

Contribution

It presents a detailed analysis of marginally deformed supergravity backgrounds, including the behavior of quark-antiquark potential and explicit solutions for Killing spinor equations.

Findings

Heavy quark-antiquark potential shows confining behavior in IR

Spectrum of wave equation analyzed

Explicit Killing spinor solutions obtained

Abstract

We summarize our recent work on supergravity backgrounds dual to part of the Coulomb branch of N=1 theories constructed as marginal deformations of N=4 Yang-Mills. In particular, we present a summary of the behaviour of the heavy quark-antiquark potential which shows confining behaviour in the IR as well as of the spectrum of the wave equation. The reduced supersymmetry is due to the implementation of T-duality in the construction of the deformed supergravity solutions. As a new result we analyze and explicitly solve the Killing spinor equations of the N=1 background in the superconformal limit.