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arXiv · hep-th/9712159

Angular momentum and long-range gravitational interactions in Matrix theory

Washington Taylor·Mark Van Raamsdonk
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Abstract

We consider subleading terms in the one-loop Matrix theory potential between a classical membrane state and a supergraviton. Nontrivial terms arise at order v/r^8 and v^3/r^8 which are proportional to the angular momentum of the membrane state. The effective potential for a graviton moving in a boosted Kerr-type metric is computed and shown to agree precisely with the Matrix theory calculation at leading order in the long-distance expansion for each power of the graviton velocity. This result generalizes to arbitrary order; we show that terms in the membrane-graviton potential corresponding to nth moments of the membrane stress-energy tensor are reproduced correctly to all orders in the long-distance expansion by terms of the form F^4 X^n in the one-loop Matrix theory calculation.

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Washington Taylor, Mark Van Raamsdonk. 1998-01-14. Angular momentum and long-range gravitational interactions in Matrix theory. https://doi.org/10.1016/s0550-3213(98)00469-6

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