Non-abelian action of D0-branes from Matrix theory in the longitudinal 5-brane background

Abstract

We study one-loop effective action of Berkooz-Douglas Matrix theory and obtain non-abelian action of D0-branes in the background field produced by longitudinal 5-branes. Since these 5-branes do not have D0-brane charge and are not present in BFSS Matrix theory, our analysis can be regarded as an independent test for the coupling of D-branes to general weak backgrounds proposed by Taylor and Van Raamsdonk, and also as a check of consistency between the two versions of Matrix theory. The coupling to the 5-branes which we obtain is basically consistent with the previous proposal, but we point out subtleties in the ordering of matrices for the multipole moments.

22 pages, Clarified the discussion on the consistency of BFSS and Berkooz-Douglas matrix models, version to appear in Nucl. Phys. B

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• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Supersymmetric non-abelian Born-Infeld revisited
• Coincident (Super)-Dp-Branes of Codimension One
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• Open Dielectric Branes

Cited by in corpus (1)

• Supersymmetric action of multiple D0-branes from Matrix theory