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Seminar of the LHEP (MIPT) theory group
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Supersymmetric sigma-model as Gross-Neve model D. V. Bykovab a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow b Faculty of Physics, Lomonosov Moscow State University |
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Abstract: I will show that there is a wide class of integrable sigma models (including, for example, the CP^n model) equivalent to the Gross-Neveu bosonic models. Within the framework of this approach, a consistent method has been developed for describing models with fermions, including supersymmetric ones, in terms of supersymplectic factors. I will also talk about the calculation of the beta function of such theories in higher loops, as well as, if time permits, about some applications in quantum mechanics. |