General information
Latest issue
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS


Personal entry:
Save password
Forgotten password?

TMF, 2008, Volume 154, Number 3, Pages 424–450 (Mi tmf6180)  

This article is cited in 21 scientific papers (total in 21 papers)

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

A. V. Marshakovab

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

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


Full text: PDF file (674 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2008, 154:3, 362–384

Bibliographic databases:

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

Citation in format AMSBIB
\by A.~V.~Marshakov
\paper On the microscopic origin of integrability in the Seiberg--Witten
\jour TMF
\yr 2008
\vol 154
\issue 3
\pages 424--450
\jour Theoret. and Math. Phys.
\yr 2008
\vol 154
\issue 3
\pages 362--384

Linking options:

    SHARE: FaceBook Twitter Livejournal

    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. Matsuura So, “Instanton counting and dielectric branes”, J. High Energy Phys., 2008, no. 9, 083, 23 pp.  crossref  mathscinet  zmath  isi  scopus
    2. Marshakov A., “Seiberg-Witten theory and extended Toda hierarchy”, J. High Energy Phys., 2008, no. 3, 055, 29 pp.  crossref  mathscinet  isi  scopus
    3. A. V. Marshakov, “Non-Abelian gauge theories, prepotentials, and Abelian differentials”, Theoret. and Math. Phys., 159:2 (2009), 598–617  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. 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.  crossref  mathscinet  isi  scopus
    5. Marshakov A., Mironov A., Morozov A., “On non-conformal limit of the AGT relations”, Phys. Lett. B, 682:1 (2009), 125–129  crossref  mathscinet  adsnasa  isi  elib  scopus
    6. Takasaki K., “Integrable structure of melting crystal model with two $q$-parameters”, J. Geom. Phys., 59:9 (2009), 1244–1257  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. Marshakov A., “Two-dimensional quantum gravity and quasiclassical integrable hierarchies”, J. Phys. A, 42:30 (2009), 304021, 16 pp.  crossref  mathscinet  zmath  isi  elib  scopus
    8. Marshakov A., “On Nonabelian Theories and Abelian Differentials”, Differential Equations: Geometry, Symmetries and Integrability - the Abel Symposium 2008, Abel Symposia, 5, 2009, 257–274  mathscinet  zmath  isi
    9. Marshakov A., “From geometry of jets to quasiclassical hierarchies”, Acta Appl. Math., 109:1 (2010), 223–238  crossref  mathscinet  zmath  isi  scopus
    10. Marshakov A., Yung A., “Strong versus weak coupling confinement in $\mathscr N=2$ supersymmetric QCD”, Nuclear Phys. B, 831:1-2 (2010), 72–104  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    11. 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.  crossref  mathscinet  zmath  isi  elib  scopus
    12. A. V. Marshakov, A. D. Mironov, A. Yu. Morozov, “Combinatorial expansions of conformal blocks”, Theoret. and Math. Phys., 164:1 (2010), 831–852  mathnet  crossref  crossref  adsnasa  isi  elib
    13. A. V. Marshakov, “Period integrals, quantum numbers, and confinement in SUSY QCD”, Theoret. and Math. Phys., 165:3 (2010), 1650–1661  mathnet  crossref  crossref  isi
    14. 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  mathscinet  zmath  isi
    15. A. V. Marshakov, “Gauge theories as matrix models”, Theoret. and Math. Phys., 169:3 (2011), 1704–1723  mathnet  crossref  crossref  mathscinet  isi
    16. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    17. Takasaki K., Nakatsu T., “Thermodynamic limit of random partitions and dispersionless Toda hierarchy”, J. Phys. A: Math. Theor., 45:2 (2012), 025403  crossref  mathscinet  zmath  adsnasa  isi  scopus
    18. Marshakov A., “Tau-Functions for Quiver Gauge Theories”, J. High Energy Phys., 2013, no. 7, 068  crossref  mathscinet  zmath  isi  elib  scopus
    19. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    20. Gavrylenko P. Marshakov A., “Residue Formulas For Prepotentials, Instanton Expansions and Conformal Blocks”, J. High Energy Phys., 2014, no. 5, 097  crossref  isi  scopus
    21. P. G. Gavrilenko, A. V. Marshakov, “Free fermions, $W$-algebras, and isomonodromic deformations”, Theoret. and Math. Phys., 187:2 (2016), 649–677  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:416
    Full text:151
    First page:6

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020