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, Noether 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.

Covariant Lagrangian Formulation of Chern-Simons and BF Theories

FATIBENE, Lorenzo;FERRARIS, Marco;FRANCAVIGLIA, Mauro
2006-01-01

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, Noether 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.
2006
3
755
774
Chern-Simons; Conservation Laws; Geometrical methods
A. BOROWIEC; L. FATIBENE; M. FERRARIS; M. FRANCAVIGLIA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/5772
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