Cosmologies with null singularities and their gauge theory duals

Das, Sumit R. ; Michelson, Jeremy ; Narayan, K. ; Trivedi, Sandip P. (2007) Cosmologies with null singularities and their gauge theory duals Physical Review D, 75 (2). 026002_1-026002_22. ISSN 0556-2821

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Official URL: http://prd.aps.org/abstract/PRD/v75/i2/e026002

Related URL: http://dx.doi.org/10.1103/PhysRevD.75.026002

Abstract

We investigate backgrounds of Type IIB string theory with null singularities and their duals proposed in S.?R. Das, J. Michelson, K. Narayan, S. P. Trivedi, hep-th/0602107. The dual theory is a deformed N=4 Yang-Mills theory in 3+1 dimensions with couplings dependent on a lightlike direction. We concentrate on backgrounds which become AdS5×S5 at early and late times and where the string coupling is bounded, vanishing at the singularity. Our main conclusion is that in these cases the dual gauge theory is nonsingular. We show this by arguing that there exists a complete set of gauge invariant observables in the dual gauge theory whose correlation functions are nonsingular at all times. The two-point correlator for some operators calculated in the gauge theory does not agree with the result from the bulk supergravity solution. However, the bulk calculation is invalid near the singularity where corrections to the supergravity approximation become important. We also obtain pp-waves which are suitable Penrose limits of this general class of solutions, and construct the matrix membrane theory which describes these pp-wave backgrounds.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:8728
Deposited On:28 Oct 2010 05:06
Last Modified:16 May 2016 18:40

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