### 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 language | English |
---|---|

Pages (from-to) | 493-526 |

Number of pages | 34 |

Journal | Journal of High Energy Physics |

Volume | 8 |

Issue number | 6 |

Publication status | Published - 01-06-2004 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*8*(6), 493-526.

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*Journal of High Energy Physics*, vol. 8, no. 6, pp. 493-526.

**Generally covariant actions for multiple D-branes.** / Brecher, Dominic; Furuuchi, Kazuyuki; Ling, Henry; Van Raamsdonk, Mark.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Generally covariant actions for multiple D-branes

AU - Brecher, Dominic

AU - Furuuchi, Kazuyuki

AU - Ling, Henry

AU - Van Raamsdonk, Mark

PY - 2004/6/1

Y1 - 2004/6/1

N2 - 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.

AB - 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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M3 - Article

AN - SCOPUS:23044517150

VL - 8

SP - 493

EP - 526

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 6

ER -