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BPS states of D=4 N=1 supersymmetry

Jerome P. Gauntlett·Gary W. Gibbons·Christopher M. Hull·Paul K. Townsend
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Abstract

We find the combinations of momentum and domain-wall charges corresponding to BPS states preserving 1/4, 1/2 or 3/4 of D=4 N=1 supersymmetry, and we show how the supersymmetry algebra implies their stability. These states form the boundary of the convex cone associated with the Jordan algebra of $4\times 4$ real symmetric matrices, and we explore some implications of the associated geometry. For the Wess-Zumino model we derive the conditions for preservation of 1/4 supersymmetry when one of two parallel domain-walls is rotated and in addition show that this model does not admit any classical configurations with 3/4 supersymmetry. Our analysis also provides information about BPS states of N=1 D=4 anti-de Sitter supersymmetry.

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Jerome P. Gauntlett, Gary W. Gibbons, Christopher M. Hull, Paul K. Townsend. 2000-03-03. BPS states of D=4 N=1 supersymmetry. https://doi.org/10.1007/s002200000341

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