Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-01-20
Nucl.Phys.B524:69-85,1998
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, latex. v2: Some clarifying remarks and references added. v3: Further minor corrections and references
Scientific paper
10.1016/S0550-3213(98)00194-1
We compute the interaction potential between two parallel transversely boosted wrapped membranes (with fixed momentum $p_-$) in D=11 supergravity with compact light-like direction. We show that the supergravity result is in exact agreement with the potential following from the all-order Born-Infeld-type action conjectured to be the leading planar infra-red part of the quantum super Yang-Mills effective action. This provides a non-trivial test of consistency of the arguments relating Matrix theory to a special limit of type II string theory. We also find the potential between two (2+0) D-brane bound states in D=10 supergravity (corresponding to the case of boosted membrane configuration in 11-dimensional theory compactified on a space-like direction). We demonstrate that the result reduces to the SYM expression for the potential in the special low-energy ($\a'\to 0$) limit, in agreement with previous suggestions. In appendix we derive the action obtained from the D=11 membrane action by the world-volume duality transformation of the light-like coordinate $x^-$ into a 3-vector.
Chepelev Iouri
Tseytlin Arkady A.
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