Deformations of flows from type IIB supergravity

TL;DR

This paper explores supersymmetric and nonsupersymmetric SL(3,R) deformations of type IIB supergravity backgrounds, revealing new flows between fixed points and extending known dualities to curved spacetime backgrounds.

Contribution

It introduces new classes of deformations of supergravity backgrounds, including flows from 4D superconformal theories to 2D fixed points, and analyzes their properties.

Findings

Deformed backgrounds exhibit flows from 4D to 2D superconformal fixed points.

Supersymmetric and nonsupersymmetric deformations are constructed and analyzed.

New dualities for theories on curved backgrounds are identified.

Abstract

We consider supersymmetric SL(3,R) deformations of various type IIB supergravity backgrounds which exhibit flows away from an asymptotically locally AdS_5 x S^5 fixed point. This includes the gravity dual of the Coulomb branch of N=1 super Yang Mills theory, for which the deformed superpotential is known. We also consider the gravity duals of field theories which live on various curved backgrounds, such as Minkowski_2 x H^2, AdS_3 x S^1 and R x S^3. Some of the deformed theories flow from a four-dimensional N=1 superconformal UV fixed point to a two-dimensional (2,2) superconformal IR fixed point. We study nonsupersymmetric generalizations of the deformations of the above Coulomb branch flows.