Mirror mirror on the wall (On two-dimensional black holes and Liouville theory)

Published 9 May 2003 Published under licence by IOP Publishing Ltd
, , Citation David Tong JHEP04(2003)031 DOI 10.1088/1126-6708/2003/04/031

1126-6708/2003/04/031

Abstract

We present a novel derivation of the duality between the two-dimensional Euclidean black hole and supersymmetric Liouville theory. We realise these (1+1)-dimensional conformal field theories on the worldvolume of domain walls in a (2+1)-dimensional gauge theory. We show that there exist two complementary descriptions of the domain wall dynamics, resulting in the two mirror conformal field theories. In particular, effects which are usually attributed to worldsheet instantons are captured by the classical scattering of domain walls.

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10.1088/1126-6708/2003/04/031