Spinning branes in Riemann-Cartan spacetime

Abstract

We use the conservation law of the stress-energy and spin tensors to study the motion of massive brane-like objects in Riemann-Cartan geometry. The world-sheet equations and boundary conditions are obtained in a manifestly covariant form. In the particle case, the resultant world-line equations turn out to exhibit a novel spin-curvature coupling. In particular, the spin of a zero-size particle does not couple to the background curvature. In the string case, the world-sheet dynamics is studied for some special choices of spin and torsion. As a result, the known coupling to the Kalb-Ramond antisymmetric external field is obtained. Geometrically, the Kalb-Ramond field has been recognized as a part of the torsion itself, rather than the torsion potential.

References in corpus (6)

• An Einstein-Hilbert Action for Axi-Dilaton Gravity in 4-Dimensions
• Classical Spinning Branes in Curved Backgrounds
• Classical String in Curved Backgrounds
• Zero-size objects in Riemann-Cartan spacetime
• Bosonic string theory in background fields by canonical methods
• CT-duality as a local property of the world-sheet

Cited by in corpus (7)

• Kalb-Ramond field localization on the Bloch brane
• Equivalence Principle in Classical and Quantum Gravity
• Geometry and stability of spinning branes in AdS gravity
• Entanglement-induced deviation from the geodesic motion in quantum gravity
• Test membranes in Riemann-Cartan spacetimes
• String background fields and Riemann-Cartan geometry
• Correspondence between 3BF and Einstein-Cartan formulations of quantum gravity