Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry
Abstract
We prove the equivalence of the SL(2,Bbb R)/U(1) KazamaSuzuki model, which is a fermionic generalization of the 2d Black Hole, and Script 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2001
 DOI:
 10.1088/11266708/2001/08/045
 arXiv:
 arXiv:hepth/0104202
 Bibcode:
 2001JHEP...08..045H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 48 pages, latex2e, 1 eps figure