BPS solutions in AdS/CFT

✍ Scribed by G. Milanesi; E. Gava; K.S. Narain; M. O'Loughlin

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 107 KB
• Volume: 55
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200610356

✦ Synopsis

Abstract

We study a class of exact supersymmetric solutions of type IIB Supergravity. They have an SO(4) SU(2) × U(1) isometry and preserve generically 4 of the 32 supersymmetries of the theory. Asymptotically AdS~5~ × 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. We show how the same formalism is suitable for the description of excitations of the AdS~5~ × Y^p,q^ geometries.