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

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

2010-05-28

arxiv.org/abs/1005.5345v2

JHEP 08 (2010) 105

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex. Few typos corrected, version to appear in JHEP

Scientific paper

10.1007/JHEP08(2010)105

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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