Perturbations and Supersymmetries in AdS_3/CFT_2

TL;DR

This paper explores how specific perturbations in AdS_3/CFT_2 affect supersymmetry, identifying the preserved symmetries and their correspondence in supergravity and conformal field theory frameworks.

Contribution

It analyzes the impact of vector field perturbations on supersymmetry in AdS_3 x S^3 solutions, linking supergravity and CFT descriptions.

Findings

(2,2) perturbation preserves N=(4,2) or N=(2,4) supersymmetry

(1,1) perturbation preserves N=(0,4) or N=(4,0) superconformal symmetry

Symmetries match on both supergravity and CFT sides

Abstract

Symmetry breaking by perturbations in the AdS/CFT correspondence is discussed. Perturbations of vector fields to the AdS_3 x S^3 solution of the six-dimensional N=(4,4) supergravity are considered. These perturbations are identified as descendents of chiral primary operators of a two-dimensional N=(4,4) CFT with conformal weight (2,2) or (1,1). We examine unbroken symmetries by the perturbations in the CFT side as well as in the supergravity side and find the same result: the N=(4,2) or N=(2,4) Poincare supersymmetry for the (2,2) perturbation and the N=(0,4) or N=(4,0) superconformal symmetry for the (1,1) perturbation.