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Vanishing of the conformal anomaly for strings in a gravitational wave

C. Duval, Z. Horvath, P. A. Horvathy

hep-tharXiv:hep-th/0306059

Abstract

Using the non-symmetric-connection approach proposed by Osborn, we demonstrate that, for a bosonic string in a specially chosen plane-fronted gravitational wave and an axion background, the conformal anomaly vanishes at the two-loop level. Under some conditions, the anomaly vanishes at all orders.

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