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This article is cited in 11 scientific papers (total in 11 papers)
Flag Manifold Sigma Models and Nilpotent Orbits
Dmitri V. Bykovab a Max-Planck-Institut für Physik, Föhringer Ring 6, D-80805 München, Germany
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
We study flag manifold sigma models that admit a zero-curvature representation. We show that these models can be naturally viewed as interacting (holomorphic and antiholomorphic) $\beta \gamma $-systems. In addition, using the theory of nilpotent orbits of complex Lie groups, we establish a relation of flag manifold sigma models to the principal chiral model.
Received: October 21, 2019 Revised: January 6, 2020 Accepted: February 11, 2020
Citation:
Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020, 89–98; Proc. Steklov Inst. Math., 309 (2020), 78–86
Linking options:
https://www.mathnet.ru/eng/tm4081https://doi.org/10.4213/tm4081 https://www.mathnet.ru/eng/tm/v309/p89
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Abstract page: | 229 | Full-text PDF : | 46 | References: | 80 | First page: | 8 |
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