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

摘要

As was observed by Grigoriev and Tseytlin, the Pohlmeyer-reduced AdS_2 x S^2superstring theory possesses N=(2,2) worldsheet supersymmetry. We show, at theclassical level, that the AdS_3 x S^3 and AdS_5 x S^5 superstring theories inthe Pohlmeyer-reduced form reveal hidden N=(4,4) and N=(8,8) worldsheetsupersymmetries. Our consideration is based on the modified mass-deformedgauged WZW action for the superstring equations. We present the explicit formof the supersymmetry transformations for both the off-shell action and thesuperstring equations. The characteristic feature of these transformations isthe presence of non-local terms.