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arXiv · 1010.1861

Spinning branes in Riemann-Cartan spacetime

Milovan Vasilic·Marko Vojinovic
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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.

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Milovan Vasilic, Marko Vojinovic. 2010-10-09. Spinning branes in Riemann-Cartan spacetime. https://doi.org/10.1103/physrevd.78.104002

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