Narrow Results

Recently we considered supertwistor reformulation of the D = 4, N = 1, 2 superstring action that comprises Newman–Penrose dyad components and is classically equivalent to the Green–Schwarz one. It was shown that in the covariant κ-symmetry gauge the supertwistor representation of the string action is simplified. Here, we analyze its Hamiltonian formulation, classify the constraints on the phase-space variables, and find the covariant set of generators of the gauge symmetries. Quantum symmetries of the supertwistor representation of the string action are examined by applying the worldsheet CFT technique. Considered are various generalizations of the model from the perspective of their possible relation to the known twistor superstring models.

We write down our supertriality axioms and introduce the Jordan superalgebra associated to a supertriality. We show how to write the supertriality operations directly in terms of supertwistors.