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BPS solutions in AdS/CFT
Author(s) -
Milanesi G.,
Gava E.,
Narain K.S.,
O'Loughlin M.
Publication year - 2007
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200610356
Subject(s) - supergravity , homogeneous space , mathematical physics , physics , formalism (music) , gauge theory , supersymmetry , isometry (riemannian geometry) , mathematics , pure mathematics , geometry , art , musical , visual arts
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 = 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.