Two-dimensional Liouville Gravity Theory with Non-Trivial Classical Background

Details Two-dimensional Liouville Gravity Theory with Non-Trivial Classical Background Two-dimensional Liouville Gravity Theory with Non-Trivial Classical Background

1998-07-16

arxiv.org/abs/hep-th/9807110v5

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTex, no figures. Some descriptions are modified

Scientific paper

We examine a possibility to introduce a non-trivial classical background metric into the 2-d Liouville gravity theory. The classical background appears as a part of the Weyl factor of the physical metric of 2-d surfaces with some conformal dimension. On the other hand, the rest part of the factor corresponds to the quantum fluctuating sector, having another conformal dimension such that these two conformal dimensions sum up to just (1,1). Consequently we conclude that, in the 2-d Liouville gravity, the target space dimensions D can be beyond 1.

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