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Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry

Hori, Kentaro and Kapustin, Anton (2001) Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry. Journal of High Energy Physics, 2001 (8). Art. No. 045. ISSN 1126-6708.

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We prove the equivalence of the SL(2, R)/U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N = 2 Liouville theory. We show that this duality is an example of mirror symmetry. The essential part of the derivation is to realize the fermionic 2d Black Hole as the low energy limit of a gauged linear sigma-model. Liouville theory is obtained by dualizing the charged scalar fields and taking into account the vortex-instanton effects, as proposed recently in non-dilatonic models. The gauged linear sigma-model we study has many useful generalizations which we briefly discuss. In particular, we show how to construct a variety of dilatonic superstring backgrounds which generalize the fermionic 2d Black Hole and admit a mirror description in terms of Toda-like theories.

Item Type:Article
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:© SISSA 2001. Received 18 July 2001, accepted for publication 21 August 2001. Published 10 October 2001. We would like to thank M. Aganagic, M.R. Douglas, P. Fendley, K. Intriligator, A. Karch, J.Maldacena, J. Polchinski, N. Seiberg, S. Shenker, E. Silverstein, D. Tong, C. Vafa, E. Witten, and A.B. Zamolodchikov for discussions. We thank ITP, Santa Barbara, for the support under the grant NSF-PHY-9907949. K.H. would also like to thank Rutgers Physics Department and the Institute for Advanced Study, for hospitality. K.H. was supported in part by NSF-DMS 9709694. A.K. was supported in part by DOE grant DE-FG02-90ER40542. E-print number: hep-th/0104202
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-90ER40542
Subject Keywords:field theories in lower dimensions; supersymmetry and duality; conformal field models in string theory
Issue or Number:8
Record Number:CaltechAUTHORS:HORjhep01
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3608
Deposited By: Tony Diaz
Deposited On:20 Jun 2006
Last Modified:02 Oct 2019 23:04

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