Superstrings in type IIB R-R plane-wave in semi-light-cone gauge and conformal invariance
arXiv:0902.3750 · doi:10.1088/1126-6708/2009/05/059
Abstract
We reconsider the analysis done by Kazama and Yokoi in arXiv:0801.1561 (hep-th). We find that although the right vacuum of the theory is the one associated to massless normal ordering (MNO), phase space normal ordering (PNO) plays crucial role in the analysis in the following way. While defining the quantum energy-momentum (EM) tensor one needs to take into account the field redefinition relating the space-time field and the corresponding world-sheet coupling. We argue that for a simple off-shell ansatz for the background this field redefinition can be taken to be identity if the interaction term is ordered according to PNO. This definition reproduces the correct physical spectrum when the background is on-shell. We further show that the right way to extract the effective equation of motion from the Virasoro anomaly is to first order the anomaly terms according to PNO at a finite regularization parameter $\eps$ and then take the $\eps \to 0$ limit. This prescription fixes an ambiguity in taking the limit for certain bosonic and fermionic contributions to the Virasoro anomaly and is the natural one to consider given the above definition of the EM tensor.
22 pages
References in corpus (6)
- Superstring in the plane-wave background with RR flux as a conformal field theory
- Tachyon Condensation and Non-BPS D-branes in a Ramond-Ramond Plane Wave Background
- A Universality in PP-Waves
- On the Conformal Field Theories for Bosonic Strings in PP-Waves
- Covariant BRST Quantization of Closed Strings in the PP-Wave Background
- General Operator Solutions and BRST Quantization of Superstrings in the pp-Wave with Torsion
Cited by in corpus (5)
- On a coordinate independent description of string worldsheet theory
- Dynamical supersymmetry analysis of conformal invariance for superstrings in type IIB R-R plane-wave
- DeWitt-Virasoro construction
- DeWitt-Virasoro construction in tensor representations
- String worldsheet theory in hamiltonian framework and background independence