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arXiv · hep-th/9209122

$W_{\infty} Algebra in Two-Dimensional Black Hole

T. Eguchi·H. Kanno·S. -K. Yang
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Abstract

We study the $SL(2;R)/U(1)$ coset model of two-dimensional black hole and its relation to the Liouville theory coupled to c=1 matter. We uncover a basic isomorphism in the algebraic structures of these theories and show that the black hole model has the same physical spectrum as the c=1 model, i.e. tachyons, $W_\infty$ currents and the ground ring elements. we also identify the operator responsible for the creation of the mass of the black hole.

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T. Eguchi, H. Kanno, S. -K. Yang. 1992-09-29. $W_{\infty} Algebra in Two-Dimensional Black Hole. https://doi.org/10.1016/0370-2693(93)91710-5

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