Communications in Mathematical Physics

, Volume 147, Issue 3, pp 549–562 | Cite as

Two-dimensional Lorentz-Weyl anomaly and gravitational Chern-Simons theory

  • A. H. Chamseddine
  • J. Fröhlich
Article

Abstract

Two-dimensional chiral fermions and bosons, more generally conformal blocks of two-dimensional conformal field theories, exhibit Weyl-, Lorentz- and mixed Lorentz-Weyl anomalies. A novel way of computing these anomalies for a system of chiral bosons of arbitrary conformal spinj is sketched. It is shown that the Lorentz- and mixed Lorentz-Weyl anomalies of these theories 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. Some tentative applications of this result to string theory are indicated.

Keywords

Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • A. H. Chamseddine
    • 1
  • J. Fröhlich
    • 2
  1. 1.University of ZürichZürichSwitzerland
  2. 2.ETH-ZürichZürichSwitzerland

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