The BRST quantization and the no-ghost theorem for AdS
Apr, 200321 pages
Published in:
- JHEP 09 (2003) 018
e-Print:
- hep-th/0304254 [hep-th]
Report number:
- KEK-TH-883,
- UPR-1041-T
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Abstract:
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.- space-time: anti-de Sitter
- dimension: 3
- string model
- Wess-Zumino-Witten model: SL(2,R)
- quantization: Becchi-Rouet-Stora
- ghost
- topology
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