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This article is cited in 69 scientific papers (total in 69 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.
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
Linking options:
https://www.mathnet.ru/eng/tmf5972https://doi.org/10.4213/tmf5972 https://www.mathnet.ru/eng/tmf/v150/i2/p179
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