A. D. Mironov, “Matrix Models and Matrix Integrals”, TMF, 146:1 (2006), 77–89; Theoret. and Math. Phys., 146:1 (2006), 63

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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 1, Pages 77–89
DOI: https://doi.org/10.4213/tmf2010 (Mi tmf2010)

This article is cited in 42 scientific papers (total in 42 papers)

Matrix Models and Matrix Integrals

A. D. Mironov^ab

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

Full-text PDF (190 kB) Citations (42)

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DOI: https://doi.org/10.4213/tmf2010

Abstract: We discuss the relations between arbitrary solutions of the loop equations describing the Hermitean one-matrix model and particular (multicut) solutions corresponding to concrete matrix integrals. These latter have a series of specific properties and, in particular, are described in terms of the Seiberg–Witten–Whitham theory. We consider the simplest example of an ordinary integral in detail.

Keywords: matrix models, supersymmetric gauge theories.

English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 1, Pages 63–72
DOI: https://doi.org/10.1007/s11232-006-0007-7

Bibliographic databases:

Language: Russian

Citation: A. D. Mironov, “Matrix Models and Matrix Integrals”, TMF, 146:1 (2006), 77–89; Theoret. and Math. Phys., 146:1 (2006), 63–72

Citation in format AMSBIB

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https://www.mathnet.ru/eng/tmf2010

https://doi.org/10.4213/tmf2010

https://www.mathnet.ru/eng/tmf/v146/i1/p77

This publication is cited in the following 42 articles:

A. Baidulaєva, V.P. Veleschuk, O.І. Vlasenko, V.A. Gnatyuk, B.K. Daulєtmuratov, S.M. Levitskii, T. Aokі, “Mekhanіzmi masoperenosu іndіyu v CdTe pri dіï nanosekundnikh lazernikh іmpulsіv”, Ukr. J. Phys., 56:2 (2022), 168
A. Mironov, A. Morozov, “Superintegrability as the hidden origin of the Nekrasov calculus”, Phys. Rev. D, 106:12 (2022)
A. Mironov, A. Morozov, Z. Zakirova, “New insights into superintegrability from unitary matrix models”, Physics Letters B, 831 (2022), 137178
A. Mironov, V. Mishnyakov, A. Morozov, Z. Zakirova, “AGT correspondence, (q-)Painlevè equations and matrix models”, Nuclear Physics B, 985 (2022), 116022
Mironov A., Mishnyakov V., Morozov A., Rashkov R., “Matrix Model Partition Function By a Single Constraint”, Eur. Phys. J. C, 81:12 (2021), 1140
Beccaria M., Tseytlin A.A., “On the Structure of Non-Planar Strong Coupling Corrections to Correlators of Bps Wilson Loops and Chiral Primary Operators”, J. High Energy Phys., 2021, no. 1, 149
Beccaria M., Hasan A., “On Topological Recursion For Wilson Loops in N=4 Sym At Strong Coupling”, J. High Energy Phys., 2021, no. 4, 194
D.S. Gertsriken, A.M. Husak, V.F. Mazanko, S. Ye. Bogdanov, “The deformation rate, atomic mobility and mechanical properties of metals”, Metalozn. obrobka met., 97:1 (2021), 28
Itoyama H. Mironov A. Morozov A., “Tensorial Generalization of Characters”, J. High Energy Phys., 2019, no. 12, 127
Mironov A. Morozov A. Zakirova Z., “Discrete Painleve Equation, Miwa Variables and String Equation in 5D Matrix Models”, J. High Energy Phys., 2019, no. 10, 227
Mironov A. Morozov A., “Q-Painleve Equation From Virasoro Constraints”, Phys. Lett. B, 785 (2018), 207–210
A. Yu. Morozov, A. A. Morozov, A. V. Popolitov, “Matrix model and dimensions at hypercube vertices”, Theoret. and Math. Phys., 192:1 (2017), 1039–1079
Andrei Mironov, Alexei Morozov, “Check-Operators and Quantum Spectral Curves”, SIGMA, 13 (2017), 047, 17 pp.
Mironov A. Morozov A., “On Determinant Representation and Integrability of Nekrasov Functions”, Phys. Lett. B, 773 (2017), 34–46
Itoyama H. Mironov A. Morozov A., “Ward Identities and Combinatorics of Rainbow Tensor Models”, J. High Energy Phys., 2017, no. 6, 115
Itoyama H. Mironov A. Morozov A., “Rainbow Tensor Model With Enhanced Symmetry and Extreme Melonic Dominance”, Phys. Lett. B, 771 (2017), 180–188
Mironov A. Morozov A., “On the Complete Perturbative Solution of One-Matrix Models”, Phys. Lett. B, 771 (2017), 503–507
Morozov A.A., “The properties of conformal blocks, the AGT hypothesis, and knot polynomials”, Phys. Part. Nuclei, 47:5 (2016), 775–837
A. V. Popolitov, “Relation between Nekrasov functions and Bohr–Sommerfeld periods in the pure $SU(N)$ case”, Theoret. and Math. Phys., 178:2 (2014), 239–252
JETP Letters, 100:4 (2014), 271–278

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

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