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Published August 10, 1998 | Submitted
Journal Article Open

Membrane scattering in curved space with M-momentum transfer

Abstract

We study membrane scattering in a curved space with non-zero M-momentum p11 transfer. In the low-energy short-distance region, the membrane dynamics is described by a three-dimensional N = 4 supersymmetric gauge theory. We study an n-instanton process of the gauge theory, corresponding to the exchange of n units of p11, and compare the result with the scattering amplitude computed in the low-energy long-distance region using supergravity. We find that they behave differently. We show that this result is not in contradiction with the large-N Matrix Theory conjecture, by pointing out that cutoff scales of the supergravity and the gauge theory are complementary to each other.

Additional Information

© 1998 Elsevier. Received 10 February 1998, Accepted 24 March 1998. HO would like to thank Joe Polchinski for discussions that initiated this work. We would also like to thank Tom Banks, Korkut Bardakci, Mike Douglas, Jeff Harvey, Shamit Kachru, Hitoshi Murayama, Steve Shenker and Stefan Vandoren for discussions. JdB and HO would also like to thank the organizers of the CERN workshop, "Nonperturbative Aspects of Strings, Branes and Fields," December 8 - 12 for their hospitality. KH and HO thank Institute for Theoretical Physics at Santa Barbara. This work is supported in part by NSF grant PHY-951497 and by DOE grant DEAC03-76SF00098. KH and HO are also supported in part by NSF grant PHY94-07194 through the Institute for Theoretical Physics. JdB is a fellow of the Miller Institute for Basic Research in Science.

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August 19, 2023
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October 24, 2023