Classification of BPS equations in higher dimensions

Details Classification of BPS equations in higher dimensions Classification of BPS equations in higher dimensions

2008-09-08

arxiv.org/abs/0809.1408v1

Phys.Rev.D78:065010,2008

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTeX

Scientific paper

10.1103/PhysRevD.78.065010

We systematically classify all possible Bogomol'nyi-Prasad-Sommerfield (BPS) equations in Euclidean dimension $d\leq8$. We discuss symmetries of BPS equations and their connection with the self-dual Yang-Mills equations. Also, we present a general method allowing to obtain the BPS equations in any dimension. In addition, we find all BPS equations in the Minkowski space of dimension $d\leq6$ and apply the obtained results to the supersymmetric Yang-Mills theories. In conclusion, we discuss the possibility of using the classification to construct soliton solutions of the low-energy effective theory of the heterotic string.

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