Angular momentum and long-range gravitational interactions in Matrix theory
arXiv:hep-th/9712159 · doi:10.1016/S0550-3213(98)00469-6
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.
18 pages LaTeX; v2: sign error fixed, references added, minor textual clarification
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- Euler Top Dynamics of Nambu-Goto P-Branes
- Conservation of Supergravity Currents from Matrix Theory
- Rotating Toroidal Branes in Supermembrane and Matrix Theory
- 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
- The SU(N) Matrix Model at Two Loops