Light-cone gauge quantization of string theories on AdS3 space Original Research Article

Light-cone gauge quantization procedures are given, for superstring theory on AdS3 space charged with NS-NS background, both in the NSR and GS formalisms. The space-time (super) conformal algebras are constructed in terms of the transversal physical degrees of freedom. The space-time conformal anomaly agrees with that of covariant formalism, provided that the world-sheet conformal anomaly c equals to 26 or 15 for bosonic string or superstring, respectively. The space-time (super) conformal field theory is found to correspond to the orbifold construction on the symmetric product space SympM/Zp.