Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge

TL;DR

This paper develops a simplified light-cone gauge formulation for the AdS_5 x S^5 superstring, enabling efficient perturbative quantum calculations and providing new insights into the superstring partition function in a non-trivial background.

Contribution

It introduces a new light-cone gauge action for the superstring in AdS_5 x S^5, simplifying quantum computations and reproducing known results more efficiently.

Findings

Computed 1-loop and 2-loop corrections to the null cusp anomalous dimension.

Reproduced earlier results in a more straightforward manner.

Gained new insights into the superstring partition function structure.

Abstract

We consider the AdS_5 x S^5 superstring in the light-cone gauge adapted to a massless geodesic in AdS5 in the Poincare patch. The resulting action has a relatively simple structure which makes it a natural starting point for various perturbative quantum computations. We illustrate the utility of this AdS light-cone gauge action by computing the 1-loop and 2-loop corrections to the null cusp anomalous dimension reproducing in a much simpler and efficient way earlier results obtained in conformal gauge. This leads to a further insight into the structure of the superstring partition function in non-trivial background.