A. D. Mironov, “Group theory approach to the $\tau$-function and its quantization”, TMF, 114:2 (1998), 163–232; Theoret. and Math. Phys., 114:2 (1998), 127

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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 2, Pages 163–232
DOI: https://doi.org/10.4213/tmf836 (Mi tmf836)

This article is cited in 44 scientific papers (total in 44 papers)

Group theory approach to the

τ

$\tau$ -function and its quantization

A. D. Mironov

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

Full-text PDF (653 kB) Citations (44)

References:

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DOI: https://doi.org/10.4213/tmf836

Abstract: This is a review of generalizations of the

τ

$\tau$ -function and integrable hierarchies and of their group theory interpretations, which admits an immediate quantization procedure. Different group theory structures related to the integrable system, as well as their quantum deformations, are discussed.

Received: 13.10.1997

English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 2, Pages 127–183
DOI: https://doi.org/10.1007/BF02557115

Bibliographic databases:

Language: Russian

Citation: A. D. Mironov, “Group theory approach to the

τ

$\tau$ -function and its quantization”, TMF, 114:2 (1998), 163–232; Theoret. and Math. Phys., 114:2 (1998), 127–183

Citation in format AMSBIB

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Linking options:

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https://doi.org/10.4213/tmf836

https://www.mathnet.ru/eng/tmf/v114/i2/p163

This publication is cited in the following 44 articles:

A. Mironov, V. Mishnyakov, A. Morozov, “Tau-functions beyond the group elements”, Nuclear Physics B, 1001 (2024), 116504
A. Mironov, A. Morozov, “On the status of DELL systems”, Nuclear Physics B, 999 (2024), 116448
Mironov A., Morozov A., Zenkevich Y., “Duality in Elliptic Ruijsenaars System and Elliptic Symmetric Functions”, Eur. Phys. J. C, 81:5 (2021), 461
Mironov A. Morozov A. Natanzon S., “Cut-and-Join Structure and Integrability For Spin Hurwitz Numbers”, Eur. Phys. J. C, 80:2 (2020), 97
Itoyama H. Mironov A. Morozov A., “Complete Solution to Gaussian Tensor Model and Its Integrable Properties”, Phys. Lett. B, 802 (2020), 135237
Itoyama H. Mironov A. Morozov A., “From Kronecker to Tableau Pseudo-Characters in Tensor Models”, Phys. Lett. B, 788 (2019), 76–81
Awata H., Kanno H., Mironov A., Morozov A., Morozov A., Ohkubo Yu., Zenkevich Y., “Anomaly in RTT relation for DIM algebra and network matrix models”, Nucl. Phys. B, 918 (2017), 358–385
Morozov A., Zenkevich Y., “Decomposing Nekrasov Decomposition”, J. High Energy Phys., 2016, no. 2, 098
Awata H., Kanno H., Mironov A., Morozov A., Morozov A., Ohkubo Yu., Zenkevich Y., “Toric Calabi-Yau threefolds as quantum integrable systems.
$$ \mathrm{\mathcal{R}} $$
-matrix and T T
$$ \mathrm{\mathcal{R}}\mathcal{T}\mathcal{T} $$
relations”, J. High Energy Phys., 2016, no. 10, 047
Melnikov D. Mironov A. Morozov A., “On skew tau-functions in higher spin theory”, J. High Energy Phys., 2016, no. 5, 027
H. Itoyama, A. D. Mironov, A. Yu. Morozov, “Matching branches of a nonperturbative conformal block at its singularity divisor”, Theoret. and Math. Phys., 184:1 (2015), 891–923
D. Galakhov, A. Mironov, A. Morozov, “Wall-crossing invariants: from quantum mechanics to knots”, J. Exp. Theor. Phys., 120:3 (2015), 549
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
Nieri F. Pasquetti S. Passerini F. Torrielli A., “5D Partition Functions, Q-Virasoro Systems and Integrable Spin-Chains”, J. High Energy Phys., 2014, no. 12, 040
Sleptsov A., “Hidden Structures of Knot Invariants”, Int. J. Mod. Phys. A, 29:29 (2014), 1430063
Alexandrov A. Mironov A. Morozov A. Natanzon S., “On KP-Integrable Hurwitz Functions”, J. High Energy Phys., 2014, no. 11, 080
Mironov A. Morozov A. Sleptsov A., “On Genus Expansion of Knot Polynomials and Hidden Structure of Hurwitz Tau-Functions”, Eur. Phys. J. C, 73:7 (2013), 2492
Anokhina A., Mironov A., Morozov A., Morozov A., “Colored Homfly Polynomials as Multiple Sums Over Paths Or Standard Young Tableaux”, Adv. High. Energy Phys., 2013, 931830
Alexandrov A., Mironov A., Morozov A., Natanzon S., “Integrability of Hurwitz partition functions”, J. Phys. A: Math. Theor., 45:4 (2012), 045209

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

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