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arXiv · hep-th/9709087

Long-distance interactions of branes: correspondence between supergravity and super Yang-Mills descriptions

I. Chepelev·A. A. Tseytlin
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Abstract

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.

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I. Chepelev, A. A. Tseytlin. 1998-01-18. Long-distance interactions of branes: correspondence between supergravity and super Yang-Mills descriptions. https://doi.org/10.1016/s0550-3213(97)00725-6

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