Covariant Lagrangian Formulation of Chern-Simons and BF Theories
arXiv:hep-th/0511060 · doi:10.1142/S0219887807001990
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.
arXiv comment23 pages, refs. added
References in corpus (6)
- Currents and Superpotentials in classical gauge theories: II. Global aspects and the example of Affine gravity
- A covariant formalism for Chern-Simons gravity
- Augmented Variational Principles and Relative Conservation Laws in Classical Field Theory
- Charges and Energy in Chern-Simons Theories and Lovelock Gravity
- Noether conservation laws in higher-dimensional Chern-Simons theory
- Gauge conservation laws in higher-dimensional Chern-Simons models
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- On eleven-dimensional Supergravity and Chern-Simons theory
- On the notion of gauge symmetries of generic Lagrangian field theory
- Classical field theory. Advanced mathematical formulation
- Alternative approach to the regularization of odd dimensional AdS gravity
- Geometrical setting for the correspondence between gravity and Chern-Simons field theories