2D string theory as normal matrix model

Nuclear Physics B

Volumn 667, Issue 1-2, 2003, Pages 90-110

  Alexandrov, Sergei Yu ^a,b,c   Kazakov, Vladimir A ^a,d   Kostov, Ivan K ^b  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

^b CEA SACLAY   (France)

^c ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^d RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042513497     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(03)00546-7     Document Type: Article

References (32)

1. Klebanov I. Lectures delivered at the ICTP Spring School on String Theory and Quantum Gravity, Trieste, April 1991 hep-th/9108019
2. Kazakov V.A. Migdal A.A. Recent progress in the non-critical strings Nucl. Phys. B 311 1988 171
3. Kazakov V. Kostov I. Kutasov D. A matrix model for the two-dimensional black hole Nucl. Phys. B 622 2002 141 hep-th/0101011
4. Alexandrov S. Kazakov V. Correlators in 2D string theory with vortex condensation Nucl. Phys. B 610 2001 77 hep-th/0104094
5. Alexandrov S. Kazakov V. Thermodynamics of 2D string theory JHEP 0301 2003 078 hep-th/0210251
6. Kostov I. String equation for string theory on a circle Nucl. Phys. B 624 2002 146 hep-th/0107247
7. Ghoshal D. Vafa C. c=1 string as the topological theory of the conifold Nucl. Phys. B 453 1995 121 hep-th/9506122
8. Dijkgraaf R. Vafa C. N=1 supersymmetry, deconstruction and bosonic gauge theories hep-th/0302011
9. Polchinski J. What is string theory Lectures presented at the 1994 Les Houches Summer School Fluctuating Geometries in Statistical Mechanics and Field Theory hep-th/9411028
10. Jevicki A. Developments in 2D string theory hep-th/9309115
11. Alexandrov S.Yu. Kazakov V.A. Kostov I.K. Time-dependent backgrounds of 2D string theory Nucl. Phys. B 640 2002 119 hep-th/0205079
12. Dijkgraaf R. Moore G. Plesser M.R. The partition function of 2D string theory Nucl. Phys. B 394 1993 356 hep-th/9208031
13. Takasaki K. Takebe T. Integrable hierarchies and dispersionless limit Rev. Math. Phys. 7 1995 743 hep-th/9405096
14. Mukhi S. Vafa C. Two-dimensional black-hole as a topological coset model of c=1 string theory Nucl. Phys. B 407 1993 667 hep-th/9301083
15. Imbimbo C. Mukhi S. The topological matrix model of c=1 string Nucl. Phys. B 449 1995 553 hep-th/9505127
16. Kostov I. Krichever I. Mineev-Veinstein M. Wiegmann P. Zabrodin A. τ-function for analytic curves Random Matrices and Their Applications in: MSRI Publ. 40 2001 285 Cambridge Univ. Press Cambridge hep-th/0005259
17. A. Zabrodin. Dispersionless limit of Hirota equations in some problems of complex analysis. Theor. Math. Phys. 129 (2001) 1511
18. Zabrodin A. Theor. Math. Phys. 129 2001 239 math.CV/0104169
19. Boyarsky A. Marshakov A. Ruchhayskiy O. Wiegmann P. Zabrodin A. On associativity equations in dispersionless integrable hierarchies Phys. Lett. B 515 2001 483 hep-th/0105260
20. Wiegmann P. Zabrodin A. Conformal maps and dispersionless integrable hierarchies Commun. Math. Phys. 213 2000 523 hep-th/9909147
21. Wiegmann P. Zabrodin A. Large scale correlations in normal and general non-Hermitian matrix ensembles hep-th/0210159
22. Agam O. Bettelheim E. Wiegmann P. Zabrodin A. Viscous fingering and a shape of an electronic droplet in the quantum Hall regime Phys. Rev. Lett. 88 2002 236802 cond-mat/0111333
23. David F. Non-perturbative effects in matrix models and vacua of two-dimensional gravity Phys. Lett. B 302 1993 403 hep-th/9212106
24. Bonnet G. David F. Eynard B. Breakdown of universality in multi-cut matrix models J. Phys. A 33 2000 6739 cond-mat/0003324
25. Kostov I.K. Conformal field theory techniques in random matrix models hep-th/9907060
26. Kazakov V. Marshakov A. Complex curve of the two matrix model and its tau-function hep-th/0211236
27. Dijkgraaf R. Vafa C. Matrix models, topological strings, and supersymmetric gauge theories Nucl. Phys. B 644 2002 3 hep-th/0206255
28. Dijkgraaf R. Vafa C. On geometry and matrix models Nucl. Phys. B 644 2002 21 hep-th/0207106
29. Dijkgraaf R. Vafa C. A perturbative window into non-perturbative physics hep-th/0208048
30. Boyarsky A. Ruchayskiy O. Integrability in SFT and new representation of KP tau-function hep-th/0211010
31. Witten E. Ground ring of two-dimensional string theory Nucl. Phys. B 373 1992 187 hep-th/9108004
32. Adler M. van Moerbeke P. String-orthogonal polynomials, string equations, and 2-Toda symmetries Commun. Pure Appl. Math. 50 1997 241 hep-th/9706182