paper

A Non-Renormalization Theorem for the d=1, N=8 Vector Multiplet

arXiv:hep-th/9706059 · doi:10.1103/PhysRevD.56.8045

Abstract

Sigma models describing low energy effective actions on D0-brane probes with N=8 supercharges are studied in detail using a manifestly d=1, N=4 super-space formalism. Two 0+1 dimensional N=4 multiplets together with their general actions are constructed. We derive the condition for these actions to be N=8 supersymmetric and apply these techniques to various D-brane configurations. We find that if in addition to N=8 supersymmetry the action must also have Spin(5) invariance, the form of the sigma model metric is uniquely determined by the one-loop result and is not renormalized perturbatively or non-perturbatively.

Uses harvmac, 16 pages. We correct an error pointed out by E. Witten

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