Supertwistor formulation for higher dimensional superstrings

Abstract

Considered is the formulation for the superstring action in 6 and 10 dimensions involving supertwistor variables that appropriately generalize 4-dimensional Ferber supertwistors. Equations of motion and kappa-symmetry transformations in terms of the supertwistors are derived. It is shown that covariant kappa-symmetry gauge fixing reduces superstring action to the quadratic one with respect to supertwistors. Upon gauge fixing remaining symmetries it can be cast into the form of the light-cone gauge Green-Schwarz superstring action.