Double-Spinor Superstrings on Coset Superspaces

TL;DR

This paper extends the double-spinor formalism to coset superspaces, providing a covariant quantization approach for superstrings in backgrounds like flat space and AdS5xS5, ensuring equivalence to Green-Schwarz formalism.

Contribution

It introduces a method to construct reparametrization invariant actions for double-spinor superstrings on coset superspaces, including new insights on doubling the entire superspace.

Findings

Successfully extended the formalism to coset superspaces.

Constructed invariant actions with local symmetries.

Demonstrated equivalence to Green-Schwarz superstring formalism.

Abstract

The double-spinor formalism, proposed by Aisaka and Kazama, provides a basis for the pure-spinor formalism, which allows manifestly super-Poincare covariant quantization of superstrings. We extend it to the case of backgrounds realized by coset superspaces. A general method constructing reparametrization invariant action is given using two concrete examples, the flat space-time and AdS(5)xS(5). We find that it is natural to double not only the spinor coordinates but the whole superspace for describing double-spinor superstrings on such backgrounds. The reparametrization invariant action has local symmetries compensating those extra degrees of freedom, which guarantee the equivalence to the Green-Schwarz formalism.