Nonlinear W^∞ current algebra in the SL(2,R)/U(1) coset model

Details Nonlinear W^∞ current algebra in the SL(2,R)/U(1) coset model Nonlinear W^∞ current algebra in the SL(2,R)/U(1) coset model

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvl..68.2996y&link_type=abstract

Physical Review Letters, Volume 68, Issue 20, May 18, 1992, pp.2996-2999

Physics

30

Nonlinear And Dynamical Symmetries, Black Holes

Scientific paper

We show that in the world-sheet SL(2,R)/U(1) coset model there exists a hidden nonlinear W^∞ current algebra, which incorporates all higher-spin (s>=2) currents including the energy-momentum tensor. Our proof is based on a free-field realization of W^∞ in terms of two scalars, as well as an elegant generating function for the W^∞ currents in the classical model. After quantization, the deformed W^∞ current algebra still results in an infinite set of commuting charges, which might be related to a space-time W symmetry for the 2D black hole arising in the corresponding string theory.

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