Advertisement

Integrable \(\mathfrak{gl}(n|n)\) Toda Field Theory and its Sigma-model Dual

  • A. V. LitvinovEmail author
Article
  • 3 Downloads

Abstract

We study the duality phenomenon between sigma-models and Toda QFT’s. We claim that \(\mathfrak{gl}(n|n)\) affine Toda field theory behaves in the strong coupling regime as η-deformed ℂℙ(n − 1) sigma-model plus a free field.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

References

  1. 1.
    J. Polchinski, Stud. Hist. Philos. Mod. Phys. 59, 6 (2017); arXiv:1412.5704.ADSCrossRefGoogle Scholar
  2. 2.
    V. A. Fateev and A. V. Litvinov, JHEP 11, 204 (2018); arXiv:1804.0339.ADSCrossRefGoogle Scholar
  3. 3.
    A. V. Litvinov and L. A. Spodyneiko, JHEP 11, 139 (2018); arXiv:1804.0708.ADSCrossRefGoogle Scholar
  4. 4.
    A. Litvinov and L. Spodyneiko, JHEP 11, 138 (2016); arXiv:1609.0627.ADSCrossRefGoogle Scholar
  5. 5.
    M. Bershtein, B. Feigin, and G. Merzon, Sel. Math. New Ser. 24, 21 (2018); arXiv:1512.0877.CrossRefGoogle Scholar
  6. 6.
    T. Procházka and M. Rapčák, JHEP 05, 159 (2019); arXiv:1808.0883.ADSCrossRefGoogle Scholar
  7. 7.
    V. Fateev, arXiv:1902.0281.Google Scholar
  8. 8.
    D. H. Friedan, Ann. Phys. 163, 318 (1985).ADSCrossRefGoogle Scholar
  9. 9.
    V. A. Fateev, E. Onofri, and A. B. Zamolodchikov, Nucl. Phys. B 406, 521 (1993).ADSCrossRefGoogle Scholar
  10. 10.
    F. Delduc, M. Magro, and B. Vicedo, JHEP 11, 192 (2013); arXiv:1308.3581.ADSCrossRefGoogle Scholar
  11. 11.
    K. Aleshkin and A. Belavin, JETP Lett. 108(10), 705 (2018); arXiv:1806.02772 [hep-th].ADSCrossRefGoogle Scholar
  12. 12.
    K. Aleshkin, A. Belavin, and A. Litvinov, Pis’ma v ZhETF 108(10), 725 (2018) [JETP Lett. 108(10), 710 (2018)].Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsChernogolovkaRussia
  2. 2.National Research University Higher School of EconomicsMoscowRussia

Personalised recommendations