The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations

TL;DR

This paper derives an exact light-cone gauge-fixed Lagrangian and Hamiltonian for the AdS5xS5 superstring, computes corrections in a near plane-wave limit, and proposes simplified Bethe equations consistent with known limits.

Contribution

It introduces a new set of light-cone Bethe equations for the quantum string that are simple and match expected physical limits.

Findings

Derived exact gauge-fixed Lagrangian and Hamiltonian.

Computed leading 1/J correction to string states.

Proposed simplified light-cone Bethe equations.

Abstract

We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5xS5. We then quantize the theory perturbatively in the near plane-wave limit, and compute the leading 1/J correction to a generic string state from the rank-1 subsectors. These investigations enable us to propose a new set of light-cone Bethe equations for the quantum string. The equations have a simple form and yield the correct spinning string and flat space limits. Finally, we clarify the notion of closed sectors in string theory by proving the existence of perturbative effective string Hamiltonians which are direct analogues of (all loop) dilatation operators in the dual N=4 gauge theory.