The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry
Open accessAbstract
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.
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Citations
Cites
Operator content of two-dimensional conformally invariant theories
Cardy, J. L. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90552-3 · Cited by 1,955
Quark confinement and topology of gauge theories
Polyakov, A. M. (1977) · Nuclear Physics B · doi:10.1016/0550-3213(77)90086-4 · Cited by 1,822
Phases of N = 2 theories in two dimensions
Witten, E. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90033-l · Cited by 1,732
Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
Blöte, H. W. J., Cardy, J. L., & Nightingale, M. P. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.742 · Cited by 1,546
Witten, E. (1991) · Physical Review D · doi:10.1103/physrevd.44.314 · Cited by 1,273
Mirror SymmetryPreprint
Zaslow, E., Vakil, R., Hori, K., Thomas, R. P., Vafa, C., Klemm, A., Pandharipande, R., & Katz, S. (2003) · arXiv (Cornell University) · Cited by 1,045
Self-citation"Irreversibility" of the flux of the renormalization group in a 2D field theory
Zamolodchikov, A. B. (1986) · Cited by 742
Nonlinear models in 2 + ε dimensions
Friedan, D. (1985) · Annals of Physics · doi:10.1016/0003-4916(85)90384-7 · Cited by 690
Notes on Quantum Liouville Theory and Quantum Gravity
Seiberg, N. (1990) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.102.319 · Cited by 572
String propagation in black hole geometry
Dijgraaf, R., Verlinde, H., & Verlinde, E. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90237-6 · Cited by 552
Cited by
LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
NAKAYAMA, Y. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04019500 · Cited by 371
Metadata
- Authors
- Hori, K., & Kapustin, A.
- Venue
- Journal of High Energy Physics
- Published
- 2001-08-21
- Volume
- 2001
- Issue
- 08
- Pages
- 045-045
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1984874875
- Cited by
- 259
- References
- 29
- FWCI
- 12.65
- Type
- journal article
- Language
- en
- Open access
- bronze
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