Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge

TL;DR

This paper derives an explicit quadratic and quartic fermionic Green-Schwarz superstring action in AdS_5 x S^5 using light-cone kappa-symmetry gauge, facilitating quantization efforts in this background.

Contribution

It provides the first explicit form of the superstring action in AdS_5 x S^5 with fermionic light-cone gauge fixing, including reformulations and limits.

Findings

Action reduces to flat space Green-Schwarz form in the limit.

Action correctly reproduces superparticle limit.

Facilitates quantization of superstrings in AdS_5 x S^5.

Abstract

As part of program to quantize superstrings in AdS_5 x S^5 background in light cone approach we find the explicit form of the corresponding Green-Schwarz action in fermionic light-cone kappa-symmetry gauge. The resulting action is quadratic and quartic in fermions. In the flat space limit it reduces to the standard light-cone Green-Schwarz action, and also has the correct superparticle limit. We discuss fixing the bosonic light-cone gauge and a reformulation of the action in terms of 2-d Dirac spinors.