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TMF, 2017, Volume 193, Number 3, Pages 381–400 (Mi tmf9441)  

This article is cited in 2 scientific papers (total in 2 papers)

A gauged linear formulation for flag-manifold $\sigma$-models

D. V. Bykov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We formulate $\sigma$-models of a flag manifold with a zero-curvature representation in the form of a theory of linear "matter fields" interacting with auxiliary gauge fields.

Keywords: $\sigma$-model, integrable model, flag space, Kähler quotient.

Funding Agency Grant Number
Russian Science Foundation 14-50-00005
This research is supported by a grant from the Russian Science Foundation (Project No. 14-50-00005).


DOI: https://doi.org/10.4213/tmf9441

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English version:
Theoretical and Mathematical Physics, 2017, 193:3, 1737–1753

Bibliographic databases:

Received: 11.08.2017

Citation: D. V. Bykov, “A gauged linear formulation for flag-manifold $\sigma$-models”, TMF, 193:3 (2017), 381–400; Theoret. and Math. Phys., 193:3 (2017), 1737–1753

Citation in format AMSBIB
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\paper A~gauged linear formulation for flag-manifold $\sigma$-models
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  • http://mi.mathnet.ru/eng/tmf9441
  • https://doi.org/10.4213/tmf9441
  • http://mi.mathnet.ru/eng/tmf/v193/i3/p381

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. V. Bykov, “The $1/N$-expansion for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 197:3 (2018), 1691–1700  mathnet  crossref  crossref  adsnasa  isi  elib
    2. Bykov D., “Flag Manifold SIGMA-Models: the 1/N-Expansion and the Anomaly Two-Form”, Nucl. Phys. B, 941 (2019), 316–360  crossref  mathscinet  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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