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TMF, 2007, Volume 150, Number 2, Pages 179–192 (Mi tmf5972)  

This article is cited in 56 scientific papers (total in 56 papers)

$M$-Theory of Matrix Models

A. S. Alexandrova, A. D. Mironovba, A. Yu. Morozova

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: Small $M$-theories incorporate various models representing a unified family in the same way that the $M$-theory incorporates a variety of superstring models. We consider this idea applied to the family of eigenvalue matrix models: their $M$-theory unifies various branches of the Hermitian matrix model (including the Dijkgraaf–Vafa partition functions) with the Kontsevich $\tau$-function. Moreover, the corresponding duality relations are reminiscent of instanton and meron decompositions, familiar from the Yang–Mills theory.

Keywords: string theory, matrix model, duality

DOI: https://doi.org/10.4213/tmf5972

Full text: PDF file (544 kB)
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English version:
Theoretical and Mathematical Physics, 2007, 150:2, 153–164

Bibliographic databases:

Received: 01.05.2006

Citation: A. S. Alexandrov, A. D. Mironov, A. Yu. Morozov, “$M$-Theory of Matrix Models”, TMF, 150:2 (2007), 179–192; Theoret. and Math. Phys., 150:2 (2007), 153–164

Citation in format AMSBIB
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    This publication is cited in the following articles:
    1. Alexandrov A., Mironov A., Morozov A., “BGWM as second constituent of complex matrix model”, Journal of High Energy Physics, 2009, no. 12, 053, 50 pp.  crossref  mathscinet  isi  scopus
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    3. Morozov A., Shakirov Sh., “On equivalence of two Hurwitz matrix models”, Mod. Phys. Lett. A, 24:33 (2009), 2659–2666  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Alexandrov A., Mironov A., Morozov A., Putrov P., “Partition functions of matrix models as the first special functions of string theory II: Kontsevich model”, Int. J. Mod. Phys. A, 24:27 (2009), 4939–4998  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. Eynard B., Orantin N., “Topological recursion in enumerative geometry and random matrices”, J. Phys. A, 42:29 (2009), 293001, 117 pp.  crossref  mathscinet  zmath  isi  elib  scopus
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    8. Morozov A., Shakirov Sh., “The matrix model version of AGT conjecture and CIV-DV prepotential”, Journal of High Energy Physics, 2010, no. 8, 066  crossref  mathscinet  zmath  isi  scopus
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