Abstract
We apply the ADHMN construction to obtain the SU(n + 1) (for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simplifies by solving the Weyl equation, leading to a set of coupled equations, whose solutions are expressed in terms of the Whittaker functions. Next, this construction is generalized for non-commutative SU(n + 1) BPS monopoles, where the corresponding solutions are given in terms of the Heun B functions.
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ArXiv ePrint: 1005.5345
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Doikou, A., Ioannidou, T. Weyl equation and (non)-commutative SU(n + 1) BPS monopoles. J. High Energ. Phys. 2010, 105 (2010). https://doi.org/10.1007/JHEP08(2010)105
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DOI: https://doi.org/10.1007/JHEP08(2010)105