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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 3, Pages 462–476
DOI: https://doi.org/10.4213/tmf66 (Mi tmf66) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Poisson–Lie T-Duality and Zero Modes

S. Klimchika, S. E. Parkhomenkoba

a Institut de Mathématiques de Luminy
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf66
Abstract: We consider the Lu–Weinstein–Soibelman Drinfeld double D and a pair of σ-models associated with it. We show that the Poisson–Lie T-duality relating them can be extended to include string configurations with a nonunit non-Abelian momentum. The dual string configuration (living on the maximal compact subgroup of D) then develops a nontrivial monodromy taking values in the Weyl alcove. We also give the duality-invariant action of this dynamical system and describe the analogous phenomenon for the dressing cosets.
Keywords: strings, σ-model, T-duality.
Received: 27.02.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 3, Pages 834–845
DOI: https://doi.org/10.1023/B:TAMP.0000029705.19826.48
Bibliographic databases:
Language: Russian
Citation: S. Klimchik, S. E. Parkhomenko, “The Poisson–Lie T-Duality and Zero Modes”, TMF, 139:3 (2004), 462–476; Theoret. and Math. Phys., 139:3 (2004), 834–845
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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