Covariant BRST Quantization of Closed Strings in the PP-Wave Background

Details Covariant BRST Quantization of Closed Strings in the PP-Wave Background Covariant BRST Quantization of Closed Strings in the PP-Wave Background

2006-08-25

arxiv.org/abs/hep-th/0608185v3

Prog.Theor.Phys.116:937-964,2007

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1143/PTP.116.937

We canonically quantize closed string theory in the pp-wave background with a non-zero flux of the three-form field strength by using the covariant BRST operator formalism. In this canonical quantization, we completely construct new covariant free-mode representations, for which it is particularly important to take account of the commutation relations of the zero mode of the light-cone string coordinate X^{-} with other modes. All covariant string coordinates are composed of the free-modes. Moreover, employing these covariant string coordinates for the energy-momentum tensor, we calculate the anomaly in the Virasoro algebra and determine the number of dimensions of spacetime and the ordering constant from the nilpotency condition of the BRST charge in the pp-wave background.

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