M-momentum Transfer between Gravitons, Membranes, and Fivebranes as Perturbative Gauge Theory Processes
arXiv:hep-th/9804067 · doi:10.1016/S0550-3213(98)00390-3
Abstract
Polchinski and Pouliot have shown that M-momentum transfer between membranes in supergravity can be understood as a non-perturbative instanton effect in gauge theory. Here we consider a dual process: electric flux transmission between D-branes. We show that this process can be described in perturbation theory as virtual string pair creation, and is closely related to Schwinger's treatment of the pair creation of charged particles in a uniform electric field. Through the application of dualities, our perturbative calculation gives results for various non-perturbative amplitudes, including M-momentum transfer between gravitons, membranes, and longitudinal fivebranes. Thus perturbation theory plus dualities are sufficient to demonstrate agreement between supergravity and gauge theory for a number of M-momentum transferring processes. A variety of other processes where branes are transmitted between branes, e.g. (p,q)-string transmission in IIB-theory, can also be studied. We discuss the implications of our results for proving the 11 dimensional Lorentz invariance of Matrix theory.
16 pages, LaTeX, 1 Postscript figure, uses epsf.tex and fps.sty macros
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- N=8 SCFT and M Theory on AdS_4 x RP^7
- On membrane interactions and a three-dimensional analog of Riemann surfaces