Marginal Deformations with U(1)^3 Global Symmetry

TL;DR

This paper constructs new 11D supergravity solutions by applying U(1)^3 symmetry-based deformations to AdS_4 x Y_7 geometries, exploring their dual gauge theories and extending known solutions.

Contribution

It introduces a general method for generating deformed supergravity solutions from Sasaki-Einstein spaces with U(1)^3 symmetry, including new cohomogeneity one and three examples.

Findings

Generated new supergravity solutions from Y_7 geometries.

Identified marginal deformations in dual gauge theories.

Extended the class of known deformed AdS_4 backgrounds.

Abstract

We generate new 11-dimensional supergravity solutions from deformations based on U(1)^3 symmetries. The initial geometries are of the form AdS_4 x Y_7, where Y_7 is a 7-dimensional Sasaki-Einstein space. We consider a general family of cohomogeneity one Sasaki-Einstein spaces, as well as the recently-constructed cohomogeneity three L^{p,q,r,s} spaces. For certain cases, such as when the Sasaki-Einstein space is S^7, Q^{1,1,1} or M^{1,1,1}, the deformed gravity solutions correspond to a marginal deformation of a known dual gauge theory.