BRST Quantization of a Particle in AdS_5 Export

@article{citeulike:4204135, 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.}, archivePrefix = {arXiv}, author = {Claus, Piet and Kallosh, Renata and Rahmfeld, J.}, citeulike-article-id = {4204135}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/9906195}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/9906195}, day = {25}, eprint = {hep-th/9906195}, keywords = {ads5, brst, first-quantization, twistors}, month = {Jun}, posted-at = {2009-03-21 20:17:28}, priority = {2}, title = {BRST Quantization of a Particle in AdS\_5}, url = {http://arxiv.org/abs/hep-th/9906195}, year = {1999} }

TY - JOUR ID - citeulike:4204135 L3 - citeulike-article-id:4204135 N2 - 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. TI - BRST Quantization of a Particle in AdS_5 KW - ads5 KW - brst KW - first-quantization KW - twistors AU - Claus, Piet AU - Kallosh, Renata AU - Rahmfeld, J PY - 1999/Jun/25/ UR - http://arxiv.org/abs/hep-th/9906195 ER -