Two-dimensional Lorentz-Weyl anomaly and gravitational Chern-Simons theory (Q1200075)

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.