Non-perturbative membrane spin-orbit couplings in M IIA theory

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Membrane source-probe dynamics is investigated in the framework of the finite N-sector DLCQ M-theory compactified on a transverse two-torus for an arbitrary size of the longitudinal dimension. The non-perturbative two-fermion terms in the effective action of the matrix theory, the (2 + 1)-dimensional supersymmetric Yang-Mills theory, that are related to the four derivative F-4 terms by the supersymmetry transformation are obtained, including the one-loop term and full instanton corrections. On the supergravity side, we compute the classical probe action up to two-fermion terms based on the classical supermembrane formulation in an arbitrary curved background geometry produced by source membranes satisfying the BPS condition; two-fermion terms correspond to the spin-orbit couplings for membranes. We find precise agreement between the two approaches when the background space-time is chosen to be that of the DLCQ M-theory, which is asymptotically locally anti-de Sitter. (C) 1999 Elsevier Science B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
1999-07
Language
English
Article Type
Article
Keywords

M-MOMENTUM TRANSFER; D-BRANE DYNAMICS; MATRIX-THEORY; GAUGE-THEORY; 16 SUPERCHARGES; MODEL; SUPERGRAVITY; SCATTERING

Citation

NUCLEAR PHYSICS B, v.551, no.3, pp.685 - 702

ISSN
0550-3213
DOI
10.1016/S0550-3213(99)00233-3
URI
http://hdl.handle.net/10203/68015
Appears in Collection
PH-Journal Papers(저널논문)
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