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2018

On (q,t)-deformation of Gaussian matrix model

Morozov, A., Popolitov, A., Shakirov, Sh.

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The recently discovered general formulas for perturbative correlators in basic matrix models can be interpreted as the Schur-preservation property of Gaussian measures.

Then substitution of Schur by, say, Macdonald polynomials, defines a q,t-deformation of the matrix model.
Eigenvalue integral representations and Virasoro-like constraints are immediate consequences.

On (q,t)-deformation of Gaussian matrix model · Around

Built on

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S. Kharchev, A. Mironov, A. Morozov, q-alg/9501013 A. Gerasimov, S. Khoroshkin, D. Lebedev, A. Mironov, A. Morozov, Int.J.Mod.Phys. A10 (1995) 2589-2614, hep-th/9405011 A. Morozov, hep-th/9502091
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A. Morozov, Phys.Usp.(UFN) 37 (1994) 1; hep-th/0502010 A. Mironov, Int.J.Mod.Phys. A9 (1994) 4355; Phys.Part.Nucl. 33 (2002) 537; hep-th/9409190
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A. Morozov and A. Smirnov, Lett.Math.Phys. 104 (2014) 585-612, arXiv:1307.2576 Ya. Kononov and A. Morozov, Eur.Phys.J. C76 (2016) no.8, 424, arXiv:1607.00615
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Then

A. Mironov and A. Morozov, Phys.Lett.B 771 (2017) pp. 503-507, arXiv:1705.00976
Original
2017
Later among the works it cites.
A.Mironov, A.Morozov, A.Popolitov, Sh.Shakirov, Theor.Math.Phys. 171 (2012) 505-522, arXiv:1103.5470 A. Mironov, A. Morozov, Sh. Shakirov and A. Smirnov, Nucl.Phys. B855 (2012) 128-151, arXiv:1105.0948 A. Mironov, A. Morozov and Y. Zenkevich, JHEP 05 (2016) 1-44, arXiv:1603.00304; Phys.Lett. B762 (2016) 196-208, arXiv:1603.05467 H. Awata, H. Kanno, T. Matsumoto, A. Mironov, A. Morozov, An. Morozov, Yu. Ohkubo and Y. Zenkevich, JHEP 07 (2016) 1-67, arXiv:1604.08366 J.-E. Bourgine, M. Fukuda, K. Harada, Yu. Matsuo and R.-D. Zhu, arXiv:1703.10759 S. Pasquetti, J.Phys. A50 (2017) no.44, 443016, arXiv:1608.02968 A. Nedelin and M. Zabzine, JHEP 1703 (2017) 098, arXiv:1511.03471
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