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 11266708. https://resolver.caltech.edu/CaltechAUTHORS:HORjhep01

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Abstract
We prove the equivalence of the SL(2, R)/U(1) KazamaSuzuki 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 sigmamodel. Liouville theory is obtained by dualizing the charged scalar fields and taking into account the vortexinstanton effects, as proposed recently in nondilatonic models. The gauged linear sigmamodel 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 Todalike theories.
Item Type:  Article  

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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 NSFPHY9907949. 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 NSFDMS 9709694. A.K. was supported in part by DOE grant DEFG0290ER40542. Eprint number: hepth/0104202  
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Subject Keywords:  field theories in lower dimensions; supersymmetry and duality; conformal field models in string theory  
Issue or Number:  8  
Record Number:  CaltechAUTHORS:HORjhep01  
Persistent URL:  https://resolver.caltech.edu/CaltechAUTHORS:HORjhep01  
Alternative URL:  http://dx.doi.org/10.1088/11266708/2001/08/045  
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  3608  
Collection:  CaltechAUTHORS  
Deposited By:  Tony Diaz  
Deposited On:  20 Jun 2006  
Last Modified:  02 Oct 2019 23:04 
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