Marginal Deformations of Field Theories with AdS_4 Duals

TL;DR

This paper constructs new AdS_4 supergravity solutions via marginal deformations of known backgrounds, identifying exact deformations in dual field theories and confirming volume-conformal dimension relations for specific cases.

Contribution

It introduces a method to generate deformed AdS_4 solutions with preserved supersymmetry and identifies exact marginal deformations in dual 3D SCFTs, confirming theoretical predictions.

Findings

Identified exactly marginal deformations for specific internal manifolds.

Confirmed volume of supersymmetric cycles matches conformal dimensions.

Constructed new supergravity solutions preserving various supersymmetries.

Abstract

We generate new AdS_4 solutions of D=11 supergravity starting from AdS_4 x X_7 solutions where X_7 has U(1)^3 isometry. We consider examples where X_7 is weak G_2, Sasaki-Einstein or tri-Sasakian, corresponding to d=3 SCFTs with N=1,2 or 3 supersymmetry, respectively, and where the deformed solutions preserve N=1,2 or 1 supersymmetry, respectively. For the special cases when X_7 is M(3,2), Q(1,1,1) or N(1,1)_I we identify the exactly marginal deformation in the dual field theory. We also show that the volume of supersymmetric 5-cycles of N(1,1)_I agrees with the conformal dimension predicted by the baryons of the dual field theory.