BPS Solutions in AdS/CFT

TL;DR

This paper explores a class of exact supersymmetric solutions in type IIB Supergravity with specific symmetries, which are dual to certain BPS operators in N=4 SYM theory, and analyzes their properties and charges.

Contribution

It introduces a new class of supersymmetric solutions with specific isometries and demonstrates their duality to 1/8 BPS operators in N=4 SYM, extending the understanding of AdS/CFT correspondence.

Findings

Solutions carry charges with respect to U(1) gauge fields.

Mass saturates the BPS bound.

Formalism applies to Y^{p,q} geometries.

Abstract

We study a class of exact supersymmetric solutions of type IIB Supergravity. They have an SO(4) x SU(2) x U(1) isometry and preserve generically 4 of the 32 supersymmetries of the theory. Asymptotically AdS_5 x S^5 solutions in this class are dual to 1/8 BPS chiral operators which preserve the same symmetries in the N=4 SYM theory. We analyse the solutions to these equations in a large radius asymptotic expansion: they carry charges with respect to two U(1) KK gauge fields and their mass saturates the expected BPS bound. We also show how the same formalism is suitable for the description of the AdS_5 x Y^{p,q} geometries and a class of their excitations.