Ruben Cordero et al 2007 Class. Quantum Grav. 24 1665 doi:10.1088/0264-9381/24/6/019
Ruben Cordero1, Alberto Molgado2 and Efrain Rojas3
Show affiliationsWe present a geometrically inspired study of the dynamics of Dp-branes. We focus on the usual non-polynomial Dirac–Born–Infeld action for the worldvolume swept out by the brane in its evolution in general background spacetimes. We emphasize the form of the resulting equations of motion which are quite simple and resemble Newton's second law, complemented with a conservation law for a worldvolume bicurrent. We take a closer look at the classical Hamiltonian analysis which is supported by the ADM framework of general relativity. The constraints and their algebra are identified as well as the geometrical role they play in phase space. In order to illustrate our results, we review the dynamics of a D1-brane immersed in a AdS3 × S3 background spacetime. We exhibit the mechanical properties of Born–Infeld objects paving the way to a consistent quantum formulation.
11.27.+d Extended classical solutions; cosmic strings, domain walls, texture
02.40.-k Geometry, differential geometry, and topology
04.20.-q Classical general relativity
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
Issue 6 (21 March 2007)
Received 17 October 2006, in final form 26 January 2007
Published 6 March 2007
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