BRST quantization of a particle in AdS5

We perform the quantization of a massive particle propagating on AdS5. We use the twistor formulation in which the action can be brought into a quadratic form. We construct the BRST operator which commutes with AdS5 isometries forming SU(2,2). The condition of a consistent BRST quantization requires that the AdS energy E is quantized in units of the AdS5 radius R, E=12R(Na+Nb+4), with Na, Nb being some non-negative integers. We also argue that the mass operator will be identified with the moduli of the U(1) central extension Z of the SU(2,2|4) algebra in the supersymmetric case. The spectrum of physical states with vanishing ghost number contains a particular subset of `masslessʹ SU(2,2) multiplets (including the bosonic part of the `novel shortʹ supermultiplets). We hope that our results will help to quantize also the string on AdS5.