Covariant BRST Quantization of Closed Strings in the pp-Wave Background | Zendy

Y. Chizaki | Zendy; Shigeaki Yahikozawa | Zendy

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

Author(s) -

Y. Chizaki,

Shigeaki Yahikozawa

Publication year - 2006

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.116.937

Subject(s) - covariant transformation , physics , brst quantization , string field theory , mathematical physics , non critical string theory , quantization (signal processing) , quantum mechanics , quantum electrodynamics , string (physics) , mathematics , gauge theory , algorithm

We canonically quantize closed string theory in the pp-wave background with anon-zero flux of the three-form field strength by using the covariant BRSToperator formalism. In this canonical quantization, we completely construct newcovariant free-mode representations, for which it is particularly important totake account of the commutation relations of the zero mode of the light-conestring coordinate X^{-} with other modes. All covariant string coordinates arecomposed of the free-modes. Moreover, employing these covariant stringcoordinates for the energy-momentum tensor, we calculate the anomaly in theVirasoro algebra and determine the number of dimensions of spacetime and theordering constant from the nilpotency condition of the BRST charge in thepp-wave background.Comment: 30 page

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