Conservation of Supergravity Currents from Matrix Theory

Abstract

In recent work by Kabat and Taylor, certain Matrix theory quantities have been identified with the spatial moments of the supergravity stress-energy tensor, membrane current, and fivebrane current. In this note, we determine the relations between these moments required by current conservation, and prove that these relations hold as exact Matrix Theory identities at finite N. This establishes conservation of the effective supergravity currents (averaged over the compact circle). In addition, the constraints of current conservation allow us to deduce Matrix theory quantities corresponding to moments of the spatial current of the longitudinal fivebrane charge, not previously identified.

11 pages, LaTeX, typos corrected

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Cited by in corpus (12)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Multiple D0-branes in Weakly Curved Backgrounds
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
• The shape of nonabelian D-branes
• General covariance of the non-abelian DBI-action
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• Open Dielectric Branes
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Action for the eleven dimensional multiple M-wave system
• On Non-Abelian Structure From Matrix Coordinates
• On The Interaction Of D0-Brane Bound States And RR Photons