Quantum constraint algebra for a closed bosonic string in a gravitational and dilaton background

We derive the quantum constraint algebra for a closed bosonic string moving in a gravitational and dilaton background to first order in α'. The hamiltonian approach is used to directly compute the quantum constraint commutators and calculate the c-and q-number anomalies that arise at the quantu...

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Bibliographic Details
Published in:Physics letters. B 1990-04, Vol.240 (3-4), p.351-355
Main Authors: Diakonou, M., Farakos, K., Koutsoumbas, G., Papantonopoulos, E.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
Self-graviting systems
continuous media and classical fields in curved spacetime
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Summary:We derive the quantum constraint algebra for a closed bosonic string moving in a gravitational and dilaton background to first order in α'. The hamiltonian approach is used to directly compute the quantum constraint commutators and calculate the c-and q-number anomalies that arise at the quantum level. The requirement that the algebra preserves the conformal invariance leads to the known background field equations.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(90)91111-N