# LAGRANGIAN SYMMETRIES OF CHERN-SIMONS THEORIES

@article{Borowiec1998LAGRANGIANSO, title={LAGRANGIAN SYMMETRIES OF CHERN-SIMONS THEORIES}, author={Andrzej Borowiec and Marco Ferraris and Mauro Francaviglia}, journal={Journal of Physics A}, year={1998}, volume={31}, pages={8823-8833} }

This paper analyses the Noether symmetries and the corresponding conservation laws for Chern-Simons Lagrangians in dimension dD 3. In particular, we find an expression for the superpotential of Chern-Simons gravity. As a byproduct the general discussion of superpotentials for third-order natural and quasi-natural theories is also given.

## 17 Citations

COVARIANT LAGRANGIAN FORMULATION OF CHERN–SIMONS AND BF THEORIES

- Physics
- 2006

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, Nother…

NOETHER CONSERVATION LAWS IN HIGHER-DIMENSIONAL CHERN SIMONS THEORY

- Physics
- 2003

Though a global Chern–Simons (2k-1)-form is not gauge-invariant, this form seen as a Lagrangian of higher-dimensional gauge theory leads to the conservation law of a modified Noether current.

Gauge conservation laws in higher-dimensional Chern-Simons models

- Physics
- 2003

Being gauge non-invariant, a Chern-Simons (2k-1)-form seen as a Lagrangian of gauge theory on a (2k-1)-dimensional manifold leads to the gauge conservation law of a modified Noether current.

Energy-momentum conservation laws in higher-dimensional Chern-Simons models

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- 2003

Though a Chern-Simons (2k-1)-form is not gauge-invariant and it depends on a background connection, this form seen as a Lagrangian of gauge theory on a (2k-1)-dimensional manifold leads to the…

A covariant formalism for Chern–Simons gravity

- Physics
- 2003

Chern–Simons type Lagrangians in d = 3 dimensions are analysed from the point of view of their covariance and globality. We use the transgression formula to find out a new fully covariant and global…

Noether currents for BF gravity

- Physics
- 2003

The conservation laws and currents for BF theory in four spacetime dimensions and BF gravity corresponding with their Lagrangian local gauge symmetries (local Lorentz transformations and…

Conservation laws for non-global Lagrangians

- Mathematics
- 2003

In the Lagrangian framework for symmetries and conserva- tion laws of field theories, we investigate globality properties of conserved currents associated with non-global Lagrangians admitting global…

Quasilocal conserved charges in the presence of a gravitational Chern-Simons term

- Physics
- 2013

We extend our recent work on the quasilocal formulation of conserved charges to a theory of gravity containing a gravitational Chern-Simons term. As an application of our formulation, we compute the…

Alternative Lagrangians for Einstein Metrics

- Physics
- 1998

We shall use the variational decomposition technique in order to calculate equations of motion and Noether energy-momentum complex for some classes of non-linear gravitational Lagrangians within the…

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