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arXiv:hep-th/0203162·v1·High Energy Physics — Theory

Approximate BPS states

J.R. Hiller🇺🇸 · S.S. Pinsky🇺🇸 · U. Trittmann🇺🇸

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Abstract

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow true massive Bogomol'nyi-Prasad-Sommerfield (BPS) states, we find approximate BPS states which have non-zero masses that are almost independent of the Yang-Mills coupling constant and which are a reflection of the massless BPS states of the underlying N=1 super Yang-Mills theory. The masses of these states at large Yang-Mills coupling are exactly at the n-particle continuum thresholds. This leads to a relation between their masses at zero and large Yang-Mills coupling.

Comments: 9 pages, 1 figure; REVTeX

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