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Covariant Lagrangian Formulation of Chern-Simons and BF Theories

A. Borowiec·L. Fatibene·M. Ferraris·M. Francaviglia
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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.

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A. Borowiec, L. Fatibene, M. Ferraris, M. Francaviglia. 2005-12-28. Covariant Lagrangian Formulation of Chern-Simons and BF Theories. https://doi.org/10.1142/s0219887807001990

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