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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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
Strings in AdS3 and the SL(2,R) WZW model. I: The spectrum
Maldacena, J., & Ooguri, H. (2001) · Journal of Mathematical Physics · doi:10.1063/1.1377273 · Cited by 521
New N=2 superconformal field theories and superstring compactification
Kazama, Y., & Suzuki, H. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90250-2 · Cited by 457
Two-dimensional black hole and singularities of CY manifolds
Ooguri, H., & Vafa, C. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00008-9 · Cited by 405
Duality, quotients, and currents
Roček, M., & Verlinde, E. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90269-h · Cited by 403
Anomalous supersymmetry transformation of some composite operators in SQCD
Konishi, K. (1984) · Physics Letters B · doi:10.1016/0370-2693(84)90311-3 · Cited by 329
Computational Physics: Fortran Version
Koonin, S. E. (2018) · CRC Press eBooks · doi:10.1201/9780429494024 · Cited by 320
Some global aspects of string compactifications
Elitzur, S., Forge, A., & Rabinovici, E. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90073-7 · Cited by 294
A matrix model for the two-dimensional black hole
Kazakov, V., Kostov, I. K., & Kutasov, D. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00606-x · Cited by 286
Little String Theory in a Double Scaling LimitPreprint
Giveon, A., & Kutasov, D. (1999) · Cited by 269
The N matrix model and gauged WZW models
Witten, E. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90235-4 · Cited by 246
Number of degrees of freedom, density of states and tachyons in string theory and CFT
Kutasov, D., & Seiberg, N. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90426-x · Cited by 243
c = 1 string as the topological theory of the conifold
Ghoshal, D., & Vafa, C. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00408-k · Cited by 226
On the Landau-Ginzburg description of N = 2 minimal modelsPreprint
Witten, E., & Lane, O. (n.d.) · Cited by 203
Integrable deformations of the O(3) sigma model. The sausage model
Fateev, V. A., Onofri, E., & Zamolodchikov, A. B. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90001-6 · Cited by 195
Notes on Quantum Liouville Theory and Quantum Gravity
Nathan Seiberg, B. (1991) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4615-3772-4_24 · Cited by 126
Topological Landau-Ginzburg formulation and integrable structure of two-dimensional string theory
Hanany, A., Oz, Y., & Plesser, M. R. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90176-7 · Cited by 53
Mizoguchi, S. (2000) · Journal of High Energy Physics · doi:10.1088/1126-6708/2000/04/014 · Cited by 39
Global aspects of gauged Wess-Zumino-Witten models
Hori, K. (1996) · Communications in Mathematical Physics · doi:10.1007/bf02506384 · Cited by 33
Self-citationD-branes in singular Calabi–Yau n-fold and N=2 Liouville theory
Eguchi, T., & Sugawara, Y. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(00)00783-5 · Cited by 27
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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
