A. V. Marshakov, “On the microscopic origin of integrability in the Seiberg–Witten theory”, TMF, 154:3 (2008), 424–450; Theoret. and Math. Phys., 154:3 (2008), 362

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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 3, Pages 424–450
DOI: https://doi.org/10.4213/tmf6180 (Mi tmf6180)

This article is cited in 22 scientific papers (total in 22 papers)

On the microscopic origin of integrability in the Seiberg–Witten theory

A. V. Marshakov^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 (674 kB) Citations (22)

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DOI: https://doi.org/10.4213/tmf6180

Abstract: We discuss the microscopic origin of integrability in the Seiberg–Witten theory. In particular, we discuss the theory in more detail with the simplest higher perturbation in the ultraviolet, where additional explicit results are obtained using bosonization and elliptic uniformization of the spectral curve.

Keywords: gauge theory, integrable system, instanton, Riemann surface.

English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 3, Pages 362–384
DOI: https://doi.org/10.1007/s11232-008-0033-8

Bibliographic databases:

Language: Russian

Citation: A. V. Marshakov, “On the microscopic origin of integrability in the Seiberg–Witten theory”, TMF, 154:3 (2008), 424–450; Theoret. and Math. Phys., 154:3 (2008), 362–384

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Linking options:

https://www.mathnet.ru/eng/tmf6180

https://doi.org/10.4213/tmf6180

https://www.mathnet.ru/eng/tmf/v154/i3/p424

This publication is cited in the following 22 articles:

P. G. Gavrilenko, A. V. Marshakov, “Free fermions, $W$ -algebras, and isomonodromic deformations”, Theoret. and Math. Phys., 187:2 (2016), 649–677
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
Gavrylenko P. Marshakov A., “Residue Formulas For Prepotentials, Instanton Expansions and Conformal Blocks”, J. High Energy Phys., 2014, no. 5, 097
Marshakov A., “Tau-Functions for Quiver Gauge Theories”, J. High Energy Phys., 2013, no. 7, 068
Takasaki K., Nakatsu T., “Thermodynamic limit of random partitions and dispersionless Toda hierarchy”, J. Phys. A: Math. Theor., 45:2 (2012), 025403
A. V. Marshakov, “Gauge theories as matrix models”, Theoret. and Math. Phys., 169:3 (2011), 1704–1723
Marshakov A., Mironov A., Morozov A., “On AGT relations with surface operator insertion and a stationary limit of beta-ensembles”, J Geom Phys, 61:7 (2011), 1203–1222
Marshakov A., “From geometry of jets to quasiclassical hierarchies”, Acta Appl. Math., 109:1 (2010), 223–238
Marshakov A., Yung A., “Strong versus weak coupling confinement in $\mathscr N=2$ supersymmetric QCD”, Nuclear Phys. B, 831:1-2 (2010), 72–104
Mironov A., Morozov A., Shakirov Sh., “Matrix model conjecture for exact BS periods and Nekrasov functions”, J. High Energy Phys., 2010, no. 2, 030, 26 pp.
A. V. Marshakov, A. D. Mironov, A. Yu. Morozov, “Combinatorial expansions of conformal blocks”, Theoret. and Math. Phys., 164:1 (2010), 831–852
A. V. Marshakov, “Period integrals, quantum numbers, and confinement in SUSY QCD”, Theoret. and Math. Phys., 165:3 (2010), 1650–1661
Nakatsu T., Takasaki K., “Integrable structure of melting crystal model with external potentials”, New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry (Rims, Kyoto, 2008), Advanced Studies in Pure Mathematics, 59, 2010, 201–223
A. V. Marshakov, “Non-Abelian gauge theories, prepotentials, and Abelian differentials”, Theoret. and Math. Phys., 159:2 (2009), 598–617
Marshakov A., Mironov A., Morozov A., “Zamolodchikov asymptotic formula and instanton expansion in $N=2$ SUSY $N_f=2N_c$ QCD”, J. High Energy Phys., 2009, no. 11, 048, 16 pp.
Marshakov A., Mironov A., Morozov A., “On non-conformal limit of the AGT relations”, Phys. Lett. B, 682:1 (2009), 125–129
Takasaki K., “Integrable structure of melting crystal model with two $q$ -parameters”, J. Geom. Phys., 59:9 (2009), 1244–1257
Marshakov A., “Two-dimensional quantum gravity and quasiclassical integrable hierarchies”, J. Phys. A, 42:30 (2009), 304021, 16 pp.
Marshakov A., “On Nonabelian Theories and Abelian Differentials”, Differential Equations: Geometry, Symmetries and Integrability - the Abel Symposium 2008, Abel Symposia, 5, 2009, 257–274
A. Marshakov, Differential Equations - Geometry, Symmetries and Integrability, 2009, 257

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

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