COVARIANT LAGRANGIAN FORMULATION OF CHERN–SIMONS AND BF THEORIES

Author:

BOROWIEC A.1,FATIBENE L.23,FERRARIS M.4,FRANCAVIGLIA M.423

Affiliation:

1. Institute of Theoretical Physics, University of Wrocław, Poland

2. INFN, Sezione di Torino, Iniziativa Specifica NA12, Italy

3. ESG, Università della Calabria, Italy

4. Dipartimento di Matematica, Università degli Studi di Torino, Italy

Abstract

We investigate the covariant formulation of Chern–Simons theories in a general odd dimension which can be obtained by introducing a vacuum connection field as a reference. Field equations, Nöther currents and superpotentials are computed so that results are easily compared with the well-known results in dimension 3. Finally we use this covariant formulation of Chern–Simons theories to investigate their relation with topological BF theories.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

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