The BRST quantization and the no-ghost theorem for AdS_3

Details The BRST quantization and the no-ghost theorem for AdS_3 The BRST quantization and the no-ghost theorem for AdS_3

2003-04-29

arxiv.org/abs/hep-th/0304254v3

JHEP 0309:018,2003

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, JHEP and AMS-LaTeX; v2 & 3: minor improvements

Scientific paper

10.1088/1126-6708/2003/09/018

In our previous papers, we prove the no-ghost theorem without light-cone directions (hep-th/0005002, hep-th/0303051). We point out that our results are valid for more general backgrounds. In particular, we prove the no-ghost theorem for AdS_3 in the context of the BRST quantization (with the standard restriction on the spin). We compare our BRST proof with the OCQ proof and establish the BRST-OCQ equivalence for AdS_3. The key in both approaches lies in the certain structure of the matter Hilbert space as a product of two Verma modules. We also present the no-ghost theorem in the most general form.

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