Quantum Cosmology from \cal{N} = 4 Super Yang - Mills Theory

Abstract

We consider quantum \cal{N} = 4 super Yang-Mills theory interacting in a covariant way with \cal{N} = 4 conformal supergravity. The induced large N effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via AdS/CFT correspondence. Considering such an effective action as a quantum correction to the classical gravity action we study quantum cosmology. In particular, the effect from dilaton to the scale factor (which without dilaton corresponds to the inflationary universe) is investigated. It is shown that, dependent on the initial conditions for the dilaton, the dilaton may slow down, or accelerate, the inflation process. At late times, the dilaton is decaying exponentially.

8 pages, LaTex, no figures

References in corpus (4)

• Gauge Theory Correlators from Non-Critical String Theory
• D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
• Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
• Conformal Anomaly in 4D Gravity-Matter Theories Non-minimally Coupled with Dilaton

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• Quantum Annihilation of Anti- de Sitter Universe
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• Vanishing Cosmological Constant in Modified Gauss-Bonnet Gravity with Conformal Anomaly
• Interacting entropy-corrected holographic Chaplygin gas model
• Conformal anomaly around the sudden singularity
• Dilatonic quantum multi-brane-worlds
• Viscous Dark Energy and Phantom Field in An Anisotropic Universe
• De Sitter cosmology from Gauss-Bonnet dark energy with quantum effects
• Inflationary Dilatonic de Sitter Universe from cal N = 4 Super Yang - Mills Theory Perturbed by Scalars
• Inflationary Dilatonic de Sitter Universe from Super Yang - Mills Theory Perturbed by Scalars and Spinors
• Anomaly Induced Effective Action Combined with Generalized Brans-Dicke Theory