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arXiv · 0809.1408

Classification of BPS equations in higher dimensions

E. K. Loginov
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Abstract

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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E. K. Loginov. 2008-09-08. Classification of BPS equations in higher dimensions. https://doi.org/10.1103/physrevd.78.065010

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