Couplings of gravitational currents with Chern-Simons gravities

Abstract

The coupling of conserved p-brane currents with non-Abelian gaugetheories is done consistently by using Chern-Simons forms. Conserved currents localized on p-branes that have a gravitational origin can be constructed from Killing-Yano forms of the underlying spacetime. We propose a generalization of the coupling procedure with Chern-Simons gravities to the case of gravitational conserved currents. In odd dimensions, the field equations of coupled Chern-Simons gravities that describe the local curvature on p-branes are obtained. In special cases of three and five dimensions, the field equations are investigated in detail.

8 pages, a new discussion with two paragraphs and some references added, published version

References in corpus (3)

• Chern-Simons Forms in Gravitation Theories
• Couplings between Chern-Simons gravities and 2p-branes
• Naked Singularities, Topological Defects and Brane Couplings

Cited by in corpus (6)

• Higher-degree Dirac Currents of Twistor and Killing Spinors in Supergravity Theories
• Lie algebra of conformal Killing-Yano forms
• Actions, equations of motion and boundary conditions for Chern-Simons Branes
• Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion
• Rigidity of Killing-Yano and conformal Killing-Yano superalgebras
• Chern-Simons Branes with enhanced gauge invariance