BPS states of D=4 N=1 supersymmetry
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 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.
Keywords
Cite
@article{arxiv.hep-th/0001024,
title = {BPS states of D=4 N=1 supersymmetry},
author = {Jerome P. Gauntlett and Gary W. Gibbons and Christopher M. Hull and Paul K. Townsend},
journal= {arXiv preprint arXiv:hep-th/0001024},
year = {2019}
}
Comments
Latex, 27 pages. Various corrections and improvements including an expanded discussion on BPS states in adS