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

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

1992-09-29

arxiv.org/abs/hep-th/9209122v1

Phys.Lett.B298:73-78,1993

Physics

High Energy Physics

High Energy Physics - Theory

10pages, NI92004

Scientific paper

10.1016/0370-2693(93)91710-5

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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