Duality of the Fermionic 2d Black Hole and N = 2 Liouville Theory as Mirror Symmetry
نویسندگان
چکیده
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.
منابع مشابه
Mirror Mirror On The Wall ( On Two - Dimensional Black Holes and Liouville Theory )
We present a novel derivation of the duality between the two-dimensional Euclidean black hole and supersymmetric Liouville theory. We realise these (1+1)-dimensional conformal field theories on the worldvolume of domain walls in a (2+1)-dimensional gauge theory. We show that there exist two complementary descriptions of the domain wall dynamics, resulting in the two mirror conformal field theor...
متن کاملModular Bootstrap of Boundary N = 2 Liouville Theory *
We present our recent studies on the dynamics of boundary N = 2 Liouville theory. We use the representation theory of N = 2 superconformal algebra and the method of modular bootstrap to derive three classes of boundary states of the N = 2 Liouville theory. Class 1 and 2 branes are analogues of ZZ and FZZT branes of N = 0, 1 Liouville theory while class 3 branes come from U(1) degrees of freedom...
متن کاملTwo Dimensional Stringy Black Holes with One Asymptotically Flat Domain
The exact black hole solution of 2D closed string theory has, as any other maximally extended Schwarzschild-like geometry, two asymptotically flat spacetime domains. One can get rid of the second domain by gauging the discrete symmetry on the SL(2,R)/U(1) coset that interchanges the two asymptotic domains and preserves the Kruskal time orientation everywhere in the Kruskal plane. Here it is sho...
متن کاملA twisted FZZ-like dual for the 2D back hole
We review and study the duality between string theory formulated on a curved exact background (the two dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results in this subject by discussing a twisted version of the Fateev-Zamolodchikov-Zamolodchikov conjecture. This duality is shown to hold at the level of N -point correlation functio...
متن کاملSecond-quantized Mirror Symmetry
We propose and give strong evidence for a duality relating Type II theories on CalabiYau spaces and heterotic strings on K3× T , both of which have N = 2 spacetime supersymmetry. Entries in the dictionary relating the dual theories are derived from an analysis of the soliton string worldsheet in the context of N = 2 orbifolds of dual N = 4 compactifications of Type II and heterotic strings. In ...
متن کامل