Publication:
A Common integrable structure in the hermitian matrix model and Hele-Shaw flows

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2008-10
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Atlantis Press
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
It is proved that the system of string equations of the dispersionless 2-Toda hierarchy which arises in the planar limit of the hermitian matrix model also underlies certain processes in HeleShaw flows.
Description
©Atlantis Press. The authors wish to thank the Spanish Ministerio de Educacion y Ciencia (research project FIS2005-00319) and the European Science Foundation (MISGAM programme) for their financial support.
Unesco subjects
Keywords
Citation
[1] A. Gerasimov, A. Marshakov, A. Mironov, A. Morozov and A. Orlov, Nuc. Phys. B 357, 565 (1991) [2] S. Y. Alexandrov, V. A. Kazakov and I. K. Kostov, Nuc. Phys. B 667, 90 (2003) [3] M. Adler and P. Van Moerbeke, Comm. Math. Phys. 203 , 185 (1999); Comm. Math. Phys. 207 , 589 (1999) [4] K. Takasaki and T. Takebe, Rev. Math. Phys. 7, 743 (1995) [5] P. W. Wiegmann and P. B. Zabrodin, Comm. Math. Phys. 213 , 523 (2000) [6] M. Mineev-Weinstein, P. Wiegmann and A. Zabrodin, Phys. Rev. Lett. 84, 5106 [7] O. Agam, E. Bettelheim, P. Wiegmann and A. Zabrodin, Phys. Rev. Lett. 88, 236801 (2002) [8] R. Teodorescu, E. Bettelheim, O. Agam, A. Zabrodin and P. Wiegmann, Nuc. Phys. B 700, 521 (2004); Nuc. Phys. B 704, 407 (2005) [9] I. Krichever, M. Mineev-Weinstein, P. Wiegmann and A. Zabrodin, Physica D 198, 1 (2004) [10] S-Y. Lee, E. Bettelheim and P. Wiegmann, Physica D 219, 23(2006) [11] L. Martínez Alonso and E. Medina, Phys. Lett. B 610, 227 (2005) [12] L. Martínez Alonso, M. Mañas and E. Medina, J. Math. Phys. 47, 83512 (2006) [13] P. Di Francesco, P. Ginsparg and Z. Zinn-Justin , 2D Gravity and Random Matrices hepth/9306153. [14] B. Eynard, An introduction to random matrices, lectures given at Saclay, October 2000, http://www-spht.cea.fr/articles/t01/014/. [15] E. Brézin, C. Itzikson, G. Parisi and B. Zuber, Comm. Math. Phys. 59 , 35 (1978) [16] D. Bessis, C. Itzikson, G. Parisi and B. Zuber, Adv. in Appl. Math. 1 , 109 (1980) [17] C. Itzikson and B. Zuber, J. Math. Phys. 21 , 411 (1980) [18] A. A. Migdal, Phys. Rep. 102, 199 (1983)
Collections