Twisted Kac-Moody algebras and the entropy of AdS(3) black hole

We show that an SL(2, R)(L) x SL(2. R)(R) Chern-Simons theory coupled to a source on a manifold with the topology of a disk correctly describes the en tropy of the AdS(3) black hole. The resulting boundary WZNW theory leads to two copies of a twisted affine Kac-Moody algebra, for which the respective Virasoro algebras have the same central charge c as the corresponding untw isted theory. But the eigenvalues of the respective L-0 operators are shift ed. We show that the asymptotic density of states For this theory is, up to logarithmic corrections, the same as that obtained by Strominger using the asymptotic symmetry of Brown and Henneaux. (C) 2001 Published by Elsevier Science B.V.