Quantum Annihilation of Anti - de Sitter Universe

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  • 4 December 1999
Abstract
We discuss the role of conformal matter quantum effects (using large N anomaly induced effective action) to creation-annihilation of an Anti-de Sitter Universe. The quantum maximally supersymmetric Yang-Mills theory covariantly coupled with classical N=4 conformal supergravity is considered as a typical example of conformal GUT. On a purely gravitational (supersymmetric) AdS background, the quantum effects act against an (already existing) AdS Universe. The annihilation of such a Universe occurs, what is common for any conformal matter theory. On a dilaton-gravitational background, where there is dilatonic contribution to the induced effective action, the quantum creation of an AdS Universe is possible assuming fine-tuning of the dilaton.

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