Classification of BPS equations in higher dimensions

2008/09/08 by E. K. Loginov · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.78.065010

published as Phys.Rev.D78:065010,2008 · 31 pages, LaTeX

arxiv created 2008/09/08 · arxiv updated 2009/12/01

Abstract

We systematically classify all possible Bogomol'nyi-Prasad-Sommerfield (BPS) equations in Euclidean dimension d≤8. 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≤6 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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