Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-01-22
Nucl.Phys.B551:685-702,1999
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, Latex, no figuress, improved presentation, references updated; to appear in Nucl.Phys.B
Scientific paper
10.1016/S0550-3213(99)00233-3
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 two approaches when the background space-time is chosen to be that of the DLCQ M theory, which is asymptotically locally Anti-de Sitter.
Hyun Seungjoon
Kiem Youngjai
Shin Hyeonjoon
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