1/8 BPS States 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 1/8 BPS operators in N=4 SYM, characterized by differential equations and charge properties.

Contribution

It introduces a new class of solutions with particular symmetries and analyzes their properties, including asymptotic behavior and charge saturation, in the context of AdS/CFT correspondence.

Findings

Solutions preserve 4 of 32 supersymmetries.

Solutions carry charges under U(1) gauge fields.

Mass saturates the BPS bound in asymptotic expansion.

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. They are parametrized by a set of four functions that satisfy certain differential equations. We analyze 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.