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× 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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Received: 6 April 2000/ Accepted: 10 September 2000
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Gauntlett, J., Gibbons, G., Hull, C. et al. BPS States of D=4 ␣N=1 Supersymmetry. Commun. Math. Phys. 216, 431–459 (2001). https://doi.org/10.1007/s002200000341
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DOI: https://doi.org/10.1007/s002200000341