Ward Identities of $W_{\infty}$ Symmetry in Liouville Theory coupled to $c_M < 1$ Matter

Details Ward Identities of $W_{\infty}$ Symmetry in Liouville Theory coupled to $c_M < 1$ Matter Ward Identities of $W_{\infty}$ Symmetry in Liouville Theory coupled to $c_M < 1$ Matter

1993-11-09

arxiv.org/abs/hep-th/9311047v1

Phys.Lett. B324 (1994) 141-148

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex file, YITP/U-93-34

Scientific paper

10.1016/0370-2693(94)90400-6

We investigate the Ward identities of the $W_{\infty}$ symmetry in the Liouville theory coupled to the $(p,q)$ conformal matter. The correlation functions are defined by applying the analytic continuation procedure for the matter sector as well as the Liouville one. We then find that the Ward identities are equivalent to the $W_q$ algebra constraints deduced from the matrix model.

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