### 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.

Original language | English |
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Journal | Journal of High Energy Physics |

Volume | 2010 |

Issue number | 8 |

DOIs | |

Publication status | Published - Aug 2010 |

### Keywords

- hep-th
- math-ph
- math.MP
- nlin.SI

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## Cite this

Doikou, A., & Ioannidou, T. (2010). Weyl equation and (non)-commutative SU(n + 1) BPS monopoles.

*Journal of High Energy Physics*,*2010*(8). https://doi.org/10.1007/JHEP08(2010)105