The BRST quantization and the no-ghost theorem for AdS_3

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.

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

References in corpus (3)

• BRST Quantization of String Theory in AdS(3)
• Unitarity of supersymmetric SL(2,R)/U(1) and no-ghost theorem for fermionic strings in AdS(3) x N
• The no-ghost theorem in curved backgrounds with a timelike u(1): NSR string

Cited by in corpus (5)

• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• The no-ghost theorem in curved backgrounds with a timelike u(1): NSR string
• Exact chiral ring of AdS(3)/CFT(2)
• Physical state representations and gauge fixing in string theory