Generally Covariant Actions for Multiple D-branes

Details Generally Covariant Actions for Multiple D-branes Generally Covariant Actions for Multiple D-branes

2004-03-31

arxiv.org/abs/hep-th/0403289v2

JHEP 0406 (2004) 020

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, LaTeX. v2: comments and refs added

Scientific paper

10.1088/1126-6708/2004/06/020

We develop a formalism that allows us to write actions for multiple D-branes with manifest general covariance. While the matrix coordinates of the D-branes have a complicated transformation law under coordinate transformations, we find that these may be promoted to (redundant) matrix fields on the transverse space with a simple covariant transformation law. Using these fields, we define a covariant distribution function (a matrix generalization of the delta function which describes the location of a single brane). The final actions take the form of an integral over the curved space of a scalar single-trace action built from the covariant matrix fields, tensors involving the metric, and the covariant distribution function. For diagonal matrices, the integral localizes to the positions of the individual branes, giving N copies of the single-brane action.

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