The BRST quantization and the no-ghost theorem for AdS_3
High Energy Physics - Theory
2010-02-03 v3
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.
Cite
@article{arxiv.hep-th/0304254,
title = {The BRST quantization and the no-ghost theorem for AdS_3},
author = {Masako Asano and Makoto Natsuume},
journal= {arXiv preprint arXiv:hep-th/0304254},
year = {2010}
}
Comments
22 pages, JHEP and AMS-LaTeX; v2 & 3: minor improvements