Large N and the Dine-Rajaraman problem
Jim McCarthy, Leonard Susskind, Andy Wilkins
TL;DR
This paper computes the effective action for three extremal brane scattering in 11d supergravity, linking it to the large N limit of Matrix theory and confirming consistency with supergravity perturbative results.
Contribution
It provides a leading-order calculation of three-brane scattering in 11d supergravity, connecting it to the large N limit of Matrix theory and supporting the Maldacena conjecture.
Findings
Effective action matches supergravity perturbative calculations
Supports the large N limit interpretation of Matrix theory
Extends understanding of brane scattering dynamics
Abstract
We compute the effective action for scattering of three well-separated extremal brane solutions, in 11d supergravity, with zero p_ transfer and small transverse velocities. Using an interpretation of the conjecture of Maldacena, following Hyun, this can be viewed as the large N limit of the Matrix theory description of three supergraviton scattering at leading order. The result is consistent with the perturbative supergravity calculation.
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