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arxiv: 1104.0706 · v3 · pith:XIR75YU3new · submitted 2011-04-04 · ✦ hep-th · math-ph· math.MP

Worldsheet Supersymmetry of Pohlmeyer-Reduced AdS_n x S^n Superstrings

classification ✦ hep-th math-phmath.MP
keywords superstringpohlmeyer-reducedsupersymmetryworldsheetactionequationsformtransformations
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As was observed by Grigoriev and Tseytlin, the Pohlmeyer-reduced AdS_2 x S^2 superstring theory possesses N=(2,2) worldsheet supersymmetry. We show, at the classical level, that the AdS_3 x S^3 and AdS_5 x S^5 superstring theories in the Pohlmeyer-reduced form reveal hidden N=(4,4) and N=(8,8) worldsheet supersymmetries. Our consideration is based on the modified mass-deformed gauged WZW action for the superstring equations. We present the explicit form of the supersymmetry transformations for both the off-shell action and the superstring equations. The characteristic feature of these transformations is the presence of non-local terms.

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