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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 2, Pages 266–282
DOI: https://doi.org/10.4213/tmf6348
(Mi tmf6348)
 

Algebraic integration of sigma-model field equations

N. T. Yilmaz

Çankaya University
References:
Abstract: We prove that the dualization algebra of the sigma model with a symmetric coset space is a Lie algebra and show that it generates an appropriate adjoint representation that allows integrating the field equations locally, which yields first-order equations.
Keywords: sigma model, first-order formulation, dualization algebra.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 2, Pages 640–653
DOI: https://doi.org/10.1007/s11232-009-0052-0
Bibliographic databases:
Language: Russian
Citation: N. T. Yilmaz, “Algebraic integration of sigma-model field equations”, TMF, 159:2 (2009), 266–282; Theoret. and Math. Phys., 159:2 (2009), 640–653
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6348
  • https://www.mathnet.ru/eng/tmf/v159/i2/p266
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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