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Pis'ma v Zh. Èksper. Teoret. Fiz., 2012, Volume 95, Issue 11, Pages 664–671 (Mi jetpl2571)  

This article is cited in 6 scientific papers (total in 6 papers)

METHODS OF THEORETICAL PHYSICS

Faces of matrix models

A. Morozov

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow

Abstract: Partition functions of eigenvalue matrix models possess a number of very different descriptions: as matrix integrals, as solutions to linear and non-linear equations, as $\tau$-functions of integrable hierarchies and as special-geometry prepotentials, as result of the action of $W$-operators and of various recursions on elementary input data, as gluing of certain elementary building blocks. All this explains the central role of such matrix models in modern mathematical physics: they provide the basic “special functions” to express the answers and relations between them, and they serve as a dream model of what one should try to achieve in any other field.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2012, 95:11, 586–593

Bibliographic databases:

Document Type: Article
Received: 18.04.2012
Language: English

Citation: A. Morozov, “Faces of matrix models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 95:11 (2012), 664–671; JETP Letters, 95:11 (2012), 586–593

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Dubinkin O., “on the Virasoro Constraints For Torus Knots”, J. Phys. A-Math. Theor., 47:48 (2014), 485203  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    2. Alexandrov A., Mironov A., Morozov A., Natanzon S., “on KP-Integrable Hurwitz Functions”, J. High Energy Phys., 2014, no. 11, 080  crossref  mathscinet  zmath  isi  scopus
    3. Itoyama H. Yoshioka R., “Developments of Theory of Effective Prepotential From Extended Seiberg-Witten System and Matrix Models”, Prog. Theor. Exp. Phys., 2015, no. 11, 11B103  crossref  mathscinet  zmath  isi  elib  scopus
    4. H. Itoyama, A. Mironov, A. Morozov, “Ward Identities and Combinatorics of Rainbow Tensor Models”, J. High Energy Phys., 2017, no. 6, 115  crossref  mathscinet  zmath  isi  scopus
    5. H. Itoyama, A. Mironov, A. Morozov, “Rainbow Tensor Model With Enhanced Symmetry and Extreme Melonic Dominance”, Phys. Lett. B, 771 (2017), 180–188  crossref  zmath  isi  scopus
    6. A. Mironov, A. Morozov, “On the Complete Perturbative Solution of One-Matrix Models”, Phys. Lett. B, 771 (2017), 503–507  crossref  zmath  isi  scopus
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