Article

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

Physical review D: Particles and fields 08/2004; 71(4). DOI: 10.1103/PhysRevD.71.041701

Source: arXiv

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**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. - [Show abstract] [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.Far East Journal of Dynamical Systems. 01/2009; 11(2). - [Show abstract] [Hide abstract]

**ABSTRACT:**We show that the spin connection of the standard metric on a six-dimensional sphere gives an exact solution to the generalized self-duality equations suggested by Tchrakian some years ago. We work on a SO(6) gauge theory with a higher-derivative coupling term. The model consists of vector fields only. The pseudoenergy is bounded from below by a topological charge, which is proportional to the winding number of spatial S5 around the internal space SO(6). The fifth homotopy group of SO(6) is, indeed, Z. The coupling constant of the higher derivative term is quadratic in the radius of the underlying space S6.Physical review D: Particles and fields 02/2008; 77(4).

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