By applying Buscher T-duality rules asymptotically to Brown-Henneaux boundary conditions, the authors construct a phase space for three-dimensional black strings whose asymptotic symmetry algebra contains bms2, bms3, and a twisted warped conformal algebra.
Effective action of gauged WZW model and exact string solutions
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We suggest how to derive the exact (all order in $\a'$) expressions for the background fields for string solutions corresponding to gauged WZW models directly at the $2d$ field theory level. One is first to replace the classical gauged WZW action by the quantum effective one and then to integrate out the gauge field. We find the explicit expression for the gauge invariant non-local effective action of the gauged WZW model. The two terms (corresponding to the group and subgroup) which appear with the same coefficients in the classical action get different $k$-dependent coefficients in the effective one. The procedure of integrating out the gauge field is considered in detail for the $SL(2,R)/U(1)$ model and the exact expressions for the $D=2$ metric and the dilaton (originally found in the conformal field theory approach) are reproduced.
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Asymptotic T-duality in three dimensions
By applying Buscher T-duality rules asymptotically to Brown-Henneaux boundary conditions, the authors construct a phase space for three-dimensional black strings whose asymptotic symmetry algebra contains bms2, bms3, and a twisted warped conformal algebra.