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

Understand

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.