Light-cone Superstring in AdS Space-time

TL;DR

This paper develops a light-cone gauge fixing approach for bosonic and superstrings in AdS space, deriving Hamiltonians and symmetry generators, which aids in understanding string dynamics in these backgrounds.

Contribution

It introduces a phase space light-cone gauge fixing method for strings in AdS space and explicitly derives the Hamiltonian and symmetry generators for superstrings in AdS_5 x S^5.

Findings

Derived the light cone Hamiltonian for superstring in AdS_5 x S^5

Realized psu(2,2|4) superalgebra generators in terms of string coordinates

Analyzed classical bosonic and superstring dynamics in AdS backgrounds

Abstract

We consider fixing the bosonic light-cone gauge for string in AdS in the phase space framework, i.e. by choosing $x^+ = \tau$, and by choosing $\sigma$ so that $P^+$ is distributed uniformly (its density is independent of $\sigma$). We discuss classical bosonic string in AdS space and superstring in AdS_5 x S^5. In the latter case the starting point is the action found in hep-th/0007036 where the kappa-symmetry is fixed by a fermionic light cone gauge. We derive the light cone Hamiltonian in the AdS_5 x S^5 case and in the case of superstring in AdS_3 x S^3. We also obtain a realization of the generators of the basic symmetry superalgebra psu(2,2|4) in terms of the AdS_5 x S^5 superstring coordinate fields.