Quantum constraint algebra for a closed bosonic string in a gravitational and dilaton background
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Diakonou, M
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Papantonopoulos, E
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Koutsoumbas, G
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Farakos, K
(EN)
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.
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