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Superstrings in AdS superbackgrounds and their integrability

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Abstract

This contribution is mainly based on results of [1, 2]. We review the structure of Green-Schwarz superstrings on AdS backgrounds with the emphasis on peculiarities of those cases which are not maximally supersymmetric. In particular, we discuss complications which one encounters with the proof of classical integrability of non-maximally supersymmetric string sigma-models and describe a method of the construction of a Lax representation of the equations of motion which is capable to provide evidence for the integrability of sigma-models whose target space is not a semi-symmetric super-coset manifold.

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Authors and Affiliations

  1. INFN, Sezione di Padova, via F. Marzolo 8, 35131, Padova, Italia

    D. Sorokin

  2. Department of Theoretical Physics, the University of the Basque Country UPV/EHU, P.O. Box 644, 48080, Bilbao, Spain

    D. Sorokin

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  1. D. Sorokin
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Correspondence to D. Sorokin.

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Sorokin, D. Superstrings in AdS superbackgrounds and their integrability. Phys. Part. Nuclei 43, 583–587 (2012). https://doi.org/10.1134/S1063779612050358

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