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Self-duality of Green-Schwarz sigma-models

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Abstract

We study fermionic T-duality symmetries of integrable Green-Schwarz sigma-models on Anti-de-Sitter backgrounds with Ramond-Ramond fluxes, constructed as \( {\mathbb{Z}_4} \) supercosets of superconformal algebras. We find three algebraic conditions that guarantee self-duality of the backgrounds under fermionic T-duality, we classify those that satisfy them and construct the map of the monodromy matrix. We introduce new T-duality directions, where some of them contain no bosonic directions, along which the backgrounds are self-dual. We find that the only self-dual backgrounds are AdS n × Sn for n = 2, 3, 5. In addition we find that the backgrounds AdS n × S1 for n = 2, 3, 5, AdS4 × S2 and AdS2 × S4 are self-dual at the level of the classical action, but have a non-trivial transformation of the dilaton.

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Authors and Affiliations

  1. Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Ramat-Aviv, 69978, Israel

    Amit Dekel & Yaron Oz

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  1. Amit Dekel
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  2. Yaron Oz
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Correspondence to Amit Dekel.

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ArXiv ePrint: 1101.0400

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Dekel, A., Oz, Y. Self-duality of Green-Schwarz sigma-models. J. High Energ. Phys. 2011, 117 (2011). https://doi.org/10.1007/JHEP03(2011)117

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