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Published October 29, 2001 | Submitted
Journal Article Open

Superstrings in 2D backgrounds with R–R flux and new extremal black holes

Abstract

The hybrid formalism is used to quantize the superstring compactified to two-dimensional target-space in a manifestly spacetime supersymmetric manner. A quantizable sigma model action is then constructed for the type II superstring in curved two-dimensional supergravity backgrounds which can include Ramond–Ramond flux. Such curved backgrounds include Calabi–Yau four-fold compactifications with Ramond–Ramond flux, and new extremal black hole solutions in two-dimensional dilaton supergravity theory. These black hole solutions are a natural generalization of the CGHS model and might be possible to describe using a supergroup version of the SL(2,R)/U(1) WZW model. We also study some dynamical aspects of the new black holes, such as formation and evaporation.

Additional Information

© 2001 Elsevier B.V. Received 7 August 2001, Accepted 15 August 2001, Available online 5 October 2001. We are grateful to C.G. Callan, O. Chandı́a, A.T. Filippov, G.T. Horowitz, J. Maldacena, D. Nedel, R. Plesser, H. Ooguri, V. Rivelles, J.H. Schwarz, N. Seiberg, S. Shenker, A. Strominger, C. Vafa, and E. Witten for useful discussions and comments. The work of N.B. is supported in part by CNPq grant 300256/94-9, Pronex 66.2002/1998-9, and FAPESP grant 99/12763-0. This research was partially conducted during the period N.B. served as a Clay Mathematics Institute Prize Fellow and S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of S.G. is also supported in part by the Caltech Discovery Fund, NSF grant No. PHY99-07949, grant RFBR No. 01-02-17488, and the Russian President's grant No. 00-15-99296. The work of B.C.V. is supported by FAPESP grant No 00/02230-3. N.B. and S.G. are grateful to the California Institute of Technology, where part of this work was done, for hospitality.

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