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A deformation of AdS5 × S5

Jerome P Gauntlett1,3, Jan B Gutowski2 and Nemani V Suryanarayana1

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We analyse a one-parameter family of supersymmetric solutions of type IIB supergravity that includes AdS5 × S5. For small values of the parameter the solutions are causally well behaved, but beyond a critical value closed timelike curves (CTCs) appear. The solutions are holographically dual to {\cal N}=4 supersymmetric Yang–Mills theory on a non-conformally flat background with non-vanishing R-currents. We compute the holographic energy–momentum tensor for the spacetime and show that it remains finite even when the CTCs appear. The solutions, as well as the uplift of some recently discovered AdS5 black-hole solutions, are shown to preserve precisely two supersymmetries.


PACS

04.65.+e Supergravity

97.60.Lf Black holes

04.70.-s Physics of black holes

11.15.-q Gauge field theories

11.10.-z Field theory

MSC

83E50 Supergravity

83C57 Black holes

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 22 (21 November 2004)

Received 26 July 2004

Published 20 October 2004



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