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Linearized supergravity from Matrix theory. (English) Zbl 1049.83533

Summary: We show that the linearized supergravity potential between two objects arising from the exchange of quanta with zero longitudinal momentum is reproduced to all orders in \(1/r\) by terms in the one-loop Matrix theory potential. The essential ingredient in the proof is the identification of the Matrix theory quantities corresponding to moments of the stress tensor and membrane current. We also point out that finite-\(N\) Matrix theory violates the equivalence principle.

MSC:

83E30 String and superstring theories in gravitational theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E50 Supergravity
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