M-theory of matrix models
May, 200612 pages
Part of Proceedings, International Workshop on Classical and Quantum Integrable Systems (CQIS-06) : Protvino, Russia, January 23-26, 2006, 153-164
Published in:
- Theor.Math.Phys. 150 (2007) 153-164,
- Teor.Mat.Fiz. 150 (2007) 179-192
Contribution to:
e-Print:
- hep-th/0605171 [hep-th]
Report number:
- FIAN-TD-3-06,
- ITEP-TH-20-06
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Abstract: (arXiv)
Small M-theories unify various models of a given family in the same way as the M-theory unifies a variety of superstring models. We consider this idea in application to the family of eigenvalue matrix models: their M-theory unifies various branches of Hermitean matrix model (including Dijkgraaf-Vafa partition functions) with Kontsevich tau-function. Moreover, the corresponding duality relations look like direct analogues of instanton and meron decompositions, familiar from Yang-Mills theory.Note:
- 12 pages, contribution to the Proceedings of the Workshop "Classical and Quantum Integrable Systems", Protvino, Russia, January, 2006
- string theory
- matrix model
- duality
- talk: Protvino 2006/01/23
- M-theory
- matrix model
- duality
- group theory: representation
- nonlinear
- meron
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