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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 309, Pages 89–98
DOI: https://doi.org/10.4213/tm4081
(Mi tm4081)
 

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
References:
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.
Funding agency Grant number
European Research Council 677368
The work is supported in part by the ERC grant in the framework of the European Union “Horizon 2020” program (QUASIFT, grant no. 677368).
Received: October 21, 2019
Revised: January 6, 2020
Accepted: February 11, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 309, Pages 78–86
DOI: https://doi.org/10.1134/S0081543820030062
Bibliographic databases:
Document Type: Article
UDC: 514.128+517.972.6+517.958:530.145.83
Language: Russian
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
Citation in format AMSBIB
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\paper Flag Manifold Sigma Models and Nilpotent Orbits
\inbook Modern problems of mathematical and theoretical physics
\bookinfo Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov
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\vol 309
\pages 89--98
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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