Physics of Particles and Nuclei

, Volume 49, Issue 5, pp 963–965 | Cite as

Sigma Models with Complex, Graded and η-Deformed Target Spaces

  • D. Bykov


I describe a class of two-dimensional σ-models with complex homogeneous target spaces, whose equations of motion admit zero-curvature representations. I point out the relation to models with \({{\mathbb{Z}}_{m}}\)-graded target spaces and to the so-called η-deformed models.



I am grateful to I.Ya. Aref’eva, S. Kuzenko, O. Lechtenfeld, K. Zarembo, P. Zinn-Justin for discussions. I am indebted to Prof. A.A. Slavnov and to my parents for support and encouragement. I would also like to thank E. Ivanov and S. Fedoruk for the invitation to participate in the conference “Supersymmetries and Quantum Symmetries” in Dubna.


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia
  2. 2.Arnold Sommerfeld Center for Theoretical Physics, Department für Physik, Ludwig-Maximilians-Universität MünchenMünchenGermany
  3. 3.Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutPotsdam-GolmGermany

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