TY - JOUR

T1 - String propagation in black hole geometry

AU - Dijgraaf, Robbert

AU - Verlinde, Herman

AU - Verlinde, Erik

N1 - Funding Information:
It is a pleasure to acknowledge discussions with C. Callan, J. Distler, D. Kutasov, I. Klebanov, M. Ro~ek,N. Seiberg, S. Shenker and E. Witten. The research of R.D. is supported by DOE Grant DE-ACO2-76WR03072, that of H.V. by NSF Grant PHY9O-21984 and that of E.V. by the W.M. Keck Foundation.

PY - 1992/3/2

Y1 - 1992/3/2

N2 - We consider string theory in the background of the two-dimensional black hole as described by the SL(2, R)/U(1) coset theory recently untroduced by Witten. We study the spectrum of this conformal field theory, and give explicit representations for the tachyon vertex-operators in terms of SL(2,R) matrix elements. This is used to compute the scattering of strings of the black hole and to show that the string propagator exhibits Hawking radiation. We further discuss the role of winding state and the appearance of bound states in the euclidean solution. We find that target-space duality in the lorentzian theory interchanges the black hole horizon with the space-time singulartty. We conclude with a comparison a non-critical c = 1 string and its formulation as a gauged SL2,R WZW model.

AB - We consider string theory in the background of the two-dimensional black hole as described by the SL(2, R)/U(1) coset theory recently untroduced by Witten. We study the spectrum of this conformal field theory, and give explicit representations for the tachyon vertex-operators in terms of SL(2,R) matrix elements. This is used to compute the scattering of strings of the black hole and to show that the string propagator exhibits Hawking radiation. We further discuss the role of winding state and the appearance of bound states in the euclidean solution. We find that target-space duality in the lorentzian theory interchanges the black hole horizon with the space-time singulartty. We conclude with a comparison a non-critical c = 1 string and its formulation as a gauged SL2,R WZW model.

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U2 - 10.1016/0550-3213(92)90237-6

DO - 10.1016/0550-3213(92)90237-6

M3 - Article

AN - SCOPUS:0000057482

SN - 0550-3213

VL - 371

SP - 269

EP - 314

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -