Cosmologies with null singularities and their gauge theory duals

Journal Article · Mon Jan 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.026002· OSTI ID:21010944

Das, Sumit R ^[1]; Michelson, Jeremy ^[2]; Narayan, K; Trivedi, Sandip P ^[3]

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1. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)
2. Department of Physics, Ohio State University, 1040 Physics Research Building, 191 West Woodruff Avenue, Columbus, Ohio 43210-1117 (United States)
3. Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005 (India)

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 AdS{sub 5}xS{sup 5} 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.

• OSTI ID: 21010944
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CORRECTIONS
CORRELATION FUNCTIONS
COSMOLOGY
COUPLING
GAUGE INVARIANCE
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SINGULARITY
SUPERGRAVITY
SUPERSTRING MODELS
TOPOLOGY
YANG-MILLS THEORY