Lagrangian Symmetries of Chern-Simons Theories

Abstract

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

16 pages in LaTeX, some comments and references added. to appear in Journal of Physics A: Mathematical and General

References in corpus (4)

• Universality of Einstein Equations for the Ricci Squared Lagrangians
• A note on the gauge symmetries of pure Chern-Simons theories with p-form gauge fields
• Chern--Simons Terms as an Example of the Relations Between Mathematics and Physics
• Alternative Lagrangians for Einstein Metrics

Cited by in corpus (12)

• Currents and Superpotentials in classical gauge theories: II. Global aspects and the example of Affine gravity
• On Superpotentials and Charge Algebras of Gauge Theories
• Noether symmetries, energy-momentum tensors and conformal invariance in classical field theory
• Quasilocal Conserved Charges with a Gravitational Chern-Simons Term
• A covariant formalism for Chern-Simons gravity
• Quasi-local conserved charges and holography
• Covariant Charges in Chern-Simons AdS_3 Gravity
• Noether conservation laws in higher-dimensional Chern-Simons theory
• Conservation laws for non global Lagrangians
• Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. II. Manifestly Generally Covariant Theories
• Brane-World charges
• Alternative Lagrangians for Einstein Metrics