On Reduced Models for Superstrings on AdS_n × Sⁿ

Authors: Grigoriev, M.; Tseytlin, A.A.

Source: Advanced Science Letters, Volume 2, Number 2, June 2009 , pp. 270-279(10)

Publisher: American Scientific Publishers

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Abstract:

We review the Pohlmeyer reduction procedure for the superstring sigma model on AdS_n × Sⁿ leading to a gauged Wess-Zumino-Witten model with an integrable potential. In particular, we consider the case of the GS superstring on AdS₃ × S³ supported by Ramond-Ramond flux. The bosonic part of the reduced Lagrangian is given by the sum of the complex sine-Gordon Lagrangian and its sinh-Gordon counterpart. We determine the corresponding fermionic part and discuss possible existence of hidden 2d supersymmetry in the reduced action. We also comment on some general aspects of the Pohlmeyer reduction applied to AdS₅ × S⁵ superstring.

Document Type: Research article

DOI: http://dx.doi.org/10.1166/asl.2009.1035

Publication date: 2009-06-01

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