Weyl Equation and BPS Monopoles

被引：0
|
作者：
Doikou, Anastasia [1 ,2 ]
Ioannidou, Theodora [1 ,2 ]
机构：
[1] Aristotle Univ Thessaloniki, Fac Engn, Dept Math Phys & Computat Sci, GR-54124 Thessaloniki, Greece
[2] Univ Patras, Dept Engn Sci, GR-26500 Patras, Greece
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷
关键词：
Weyl equation; BPS monopole; non-commutative SU(n+1) BPS monopoles; ADHM; ADHMN; SYMMETRY;
D O I：
10.1063/1.3636821
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：4
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