Article

# Generalized Monopoles in Six-dimensional Non-Abelian Gauge Theory

Department of Physics, Osaka University, Suika, Ōsaka, Japan
08/2004; 71(4). DOI: 10.1103/PhysRevD.71.041701
Source: arXiv

ABSTRACT A spherically symmetric monopole solution is found in SO(5) gauge theory with
Higgs scalar fields in the vector representation in six-dimensional Minkowski
spacetime. The action of the Yang-Mills fields is quartic in field strengths.
The solution saturates the Bogomolny bound and is stable.

0 Bookmarks
·
72 Views
• Source
##### Article: A self-duality solution to a six-dimensional gauge theory
[Hide abstract]
ABSTRACT: We give an exact solution to the generalized self-duality equations suggested by Tchrakian on a six-dimensional twisted space-time and work on the gauge theory SO(3,3) with a higher-derivative coupling term. The coupling term is considered as geometry as well as interaction dependent. The topological properties are also studied.
01/2009; 11(2).
• ##### Article: Monopoles in Even Dimensions
[Hide abstract]
ABSTRACT: A self-contained study of monopole configurations of pure Yang–Mills theories and a discussion of their charges is carried out in the language of principal bundles. An n-dimensional monopole over the sphere n is a particular type of principal connection on a principal bundle over a symmetric space K/H which is K-invariant, where K = SO(n + 1) and H = SO(n). It is shown that principal bundles over symmetric spaces admit a unique K-invariant principal connection called canonical, which also satisfy Yang–Mills equations. The geometrical framework enables us to describe their associated field strengths in purely algebraic terms and compute the charge of relevant (Yang-type) monopoles avoiding the use of coordinates. Besides, two more accurate descriptions of known results are performed in this paper. First, it is proven that the Yang monopole should be considered a connection invariant by Spin(5) instead of by SO(5), as Yang did in his original article [2]. Second, we replace the Chern class with the Euler class to calculate the charge of the SO(2n)-monopoles studied in [18].
Reports on Mathematical Physics 08/2012; 70(1):65–103. DOI:10.1016/S0034-4877(13)60014-2 · 1.04 Impact Factor
• Source
##### Article: A SELF-DUALITY SOLUTION TO A SIX-DIMENSIONAL GAUGE THEORY
[Hide abstract]
ABSTRACT: We give an exact solution to the generalized self-duality equations suggested by Tchrakian on a six-dimensional twisted space-time and work on the gauge theory $\text{SO}(3,3)$ with a higher-derivative coupling term. The coupling term is considered as geometry as well as interaction dependent. The topological properties are also studied.
Far East Journal of Mathematical Sciences 12/2009; 11(2):197-204.