Generally covariant actions for multiple D-branes

Dominic Brecher, Kazuyuki Furuuchi, Henry Ling, Mark Van Raamsdonk

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12 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)493-526
Number of pages34
JournalJournal of High Energy Physics
Volume8
Issue number6
Publication statusPublished - 01-06-2004

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Brecher, D., Furuuchi, K., Ling, H., & Van Raamsdonk, M. (2004). Generally covariant actions for multiple D-branes. Journal of High Energy Physics, 8(6), 493-526.