Light-cone Superstring in AdS Space-time
R.R. Metsaev, C.B. Thorn, A.A. Tseytlin

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 , and by choosing so that is distributed uniformly (its density is independent of ). 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.
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