Superstrings on AdS_5 x S^5 supertwistor space

TL;DR

This paper derives the Green-Schwarz superstring action on AdS_5 x S^5 using a novel coset superspace approach, making conformal symmetry and kappa-symmetry gauge fixing more transparent.

Contribution

It introduces an alternative coset construction that simplifies the derivation and representation of symmetries for superstrings on AdS_5 x S^5.

Findings

Streamlined derivation of the Green-Schwarz action.

Manifest conformal symmetry at all steps.

Transparent kappa-symmetry gauge fixing.

Abstract

We derive the Green-Schwarz action on AdS_5 x S^5 using an alternate version of the coset superspace construction. By Wick rotations and Lie algebra identifications we bring the coset to GL(4|4)/(Sp(4) x GL(1))^2, which allows us to represent the conformal transformations on unconstrained matrices. The derivation is more streamlined even for the bosonic sector, and conformal symmetry is manifest at every step. Kappa-symmetry gauge fixing is more transparent.