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arXiv · hep-th/9906195

BRST Quantization of a Particle in AdS_5

Piet Claus·Renata Kallosh·J. Rahmfeld
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Abstract

We perform the quantization of a massive particle propagating on AdS_5. We use the twistor formulation in which the action can be brought into a quadratic form. We construct the BRST operator which commutes with AdS_5 isometries forming SU(2,2). The condition of a consistent BRST quantization requires that the AdS energy E is quantized in units of the AdS_5 radius R, E=\frac{1}{2R}(N_a +N_b+4), with N_a, N_b 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 `massless' SU(2,2) multiplets (including the bosonic part of the `novel short' supermultiplets). We hope that our results will help to quantize also the string on AdS_5.

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Piet Claus, Renata Kallosh, J. Rahmfeld. 1999-06-25. BRST Quantization of a Particle in AdS_5. https://doi.org/10.1016/s0370-2693(99)00931-4

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