Existence of Static BPS Monopoles and Dyons in Arbitrary (4p – 1)-Dimensional Spaces |
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Authors: | Xiuqin Wang Yisong Yang |
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Institution: | (1) School of Mathematics, Henan University, Kaifeng, Henan, 475001, Peoples’s Republic of China;(2) Department of Mathematics, Polytechnic University, Brooklyn, NY 11201, USA |
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Abstract: | We prove the existence and uniqueness of a static and radially symmetric BPS monopole of unit topological charge in an arbitrary (4p – 1)-dimensional space descended from the generalized Yang–Mills theory in 4p dimensions and formulated and presented in a recent study of Radu and Tchrakian. This monopole solution also gives rise to an electrically and magnetically charged soliton, called dyon, in the same spacetime setting through the well-known Julia–Zee correspondence. Our method is based on a dynamical shooting approach depending on two shooting parameters which provides an effective framework for constructing the BPS monopole and dyon solutions in general dimensions. |
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Keywords: | 81E13 35Q20 49A10 |
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