The existence of self-dual or anti-self-dual monopoles of a seven-dimensional generalized Yang-Mills-Higgs theory is proved using the second-order equations of motion. The behavior of solutions can be used to recognize self- or anti-self-duality. Moreover, it is shown that, in the class of the field configurations under discussion, the solutions are, in fact, unique.
- AMS subject classifications (1980): 81E13, 35Q20, 49A10
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics