Abstract
The SL(2, R)/U(1) coset model, with U(1) an element of the third conjugacy class of SL(2, R) subgroups, is considered. The resulting theory is seen to collapse to a one dimensional Liouville field theory. Then the 2 dimensional black hole SL(2, R)/U(1), with U(1) a non-compact subgroup boosted by a Lorentz transformation, is considered. In the limit of high boost, the resulting black hole is found to tend to the Liouville field coupled to a C = 1 matter field. The limit of the vertex operators of the 2 dimensional black hole also tend to those of the C = 1 two dimensional gravity.
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© 1993 Springer Science+Business Media New York
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Ardalan, F. (1993). 2D Black Holes and 2D Gravity. In: Osborn, H. (eds) Low-Dimensional Topology and Quantum Field Theory. NATO ASI Series, vol 315. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1612-9_15
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DOI: https://doi.org/10.1007/978-1-4899-1612-9_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1614-3
Online ISBN: 978-1-4899-1612-9
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