Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-09-11
Nucl.Phys.B515:73-113,1998
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, latex. Few misprints corrected, to appear in Nuclear Physics
Scientific paper
10.1016/S0550-3213(97)00725-6
We address the issue of correspondence between classical supergravity and quantum super Yang-Mills (or Matrix theory) expressions for the long-distance, low-velocity interaction potentials between 0-branes and various bound states of branes. The leading-order potentials are known to be reproduced by the F^4 terms in the 1-loop SYM effective action. Using self-consistency considerations, we determine a universal combination of F^6 terms in the 2-loop SYM effective action that corresponds to the subleading terms in the supergravity potentials in many cases, including 0-brane scattering off 1/8 supersymmetric 410 and 4440 bound states representing extremal D=5 and D=4 extremal black holes. We give explicit descriptions of the these configurations in terms of 1/4 supersymmetric SYM backgrounds on dual tori. Under a proper choice of the gauge field backgrounds, the 2-loop F^6 SYM action reproduces the full expression for the subleading term in the supergravity potentials, including its subtle v^2 part.
Chepelev Iouri
Tseytlin Arkady A.
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