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arXiv · 1005.5345

Weyl Equation and (Non)-Commutative SU(n+1) BPS Monopoles

Anastasia Doikou·Theodora Ioannidou
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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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Anastasia Doikou, Theodora Ioannidou. 2010-08-13. Weyl Equation and (Non)-Commutative SU(n+1) BPS Monopoles. https://doi.org/10.1007/jhep08(2010)105

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