Aspects of Diffeomorphism and Conformal invariance in classical Liouville theory
arXiv:0806.3135 · doi:10.1209/0295-5075/89/11003
Abstract
The interplay between the diffeomorphism and conformal symmetries (a feature common in quantum field theories) is shown to be exhibited for the case of black holes in two dimensional classical Liouville theory. We show that although the theory is conformally invariant in the near horizon limit, there is a breaking of the diffeomorphism symmetry at the classical level. On the other hand, in the region away from the horizon, the conformal symmetry of the theory gets broken with the diffeomorphism symmetry remaining intact.
Accepted in Euro. Phys. Letters., Title changed, abstract modified, major modifications made in the paper
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