Open AccessPoincaré invariance in multiple D-brane actions
Author(s) -
Dominic Brecher,
Paul Koerber,
Henry Ling,
Mark Van Raamsdonk
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/01/151
Subject(s) - lorentz transformation , covariant transformation , lorentz covariance , invariant (physics) , brane cosmology , brane , physics , pure mathematics , matrix (chemical analysis) , theoretical physics , transformation (genetics) , mathematics , classical mechanics , algebra over a field , mathematical physics , biochemistry , chemistry , materials science , composite material , gene
We show that the requirement of Poincare invariance (more specificallyinvariance under boosts/rotations that mix brane directions with transversedirections) places severe constraints on the form of actions describingmultiple D-branes, determining an infinite series of correction terms to thecurrently known actions. For the case of D0-branes, we argue that up to fieldredefinitions, there is a unique Lorentz transformation rule for the coordinatematrices consistent with the Poincare algebra. We characterize all independentPoincare invariant structures by describing the leading term of each andproviding an implicit construction of a Poincare invariant completion. Ourconstruction employs new matrix-valued Lorentz covariant objects built from thecoordinate matrices, which transform simply under the (extremely complicated)Lorentz transformation rule for the matrix coordinates.Comment: 40 pages, LaTeX, added reference
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