Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge

TL;DR

This paper derives a Nambu-Goto-like action for superstrings in AdS_5 x S^5 using a generalized light-cone gauge, providing a more standard form that correctly reduces to flat space.

Contribution

It presents a new formulation of the Green-Schwarz superstring action in AdS_5 x S^5, converting phase space variables into a standard Lagrangian form with a Nambu-Goto structure.

Findings

Derived a Nambu-Goto type action in the generalized light-cone gauge.

Ensured the action has the correct flat-space limit.

Provided a standard form of the superstring action in AdS_5 x S^5.

Abstract

We reinvestigate the kappa-symmetry-fixed Green-Schwarz action in the AdS_5 x S^5 background in a version of the light-cone gauge. In the generalized light-cone gauge, the action has been written in the phase space variables. We convert it into the standard action written in terms of the fields and their derivatives. We obtain a Nambu-Goto type action which has the correct flat-space limit.