Weyl Equation and (Non)-Commutative SU(n+1) BPS Monopoles
High Energy Physics - Theory
2014-11-21 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1005.5345,
title = {Weyl Equation and (Non)-Commutative SU(n+1) BPS Monopoles},
author = {Anastasia Doikou and Theodora Ioannidou},
journal= {arXiv preprint arXiv:1005.5345},
year = {2014}
}
Comments
16 pages, Latex. Few typos corrected, version to appear in JHEP