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Two-dimensional Lorentz-Weyl anomaly and gravitational Chern-Simons theory. (English) Zbl 0755.53049

The authors present a new way of computing the anomalies exhibited by conformal blocks of two-dimensional conformal field theories, for a system of chiral bosons of arbitrary conformal spin \(j\). They show that the Lorentz and the mixed Lorentz-Weyl anomalies can be cancelled by the anomalies of a three-dimensional classical Chern-Simons action for the spin connection, expressed in terms of the dreibein field. Applications of the obtained results to string theory are pointed out.

MSC:

53Z05 Applications of differential geometry to physics
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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