A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling

Details A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling

2007-03-19

arxiv.org/abs/hep-th/0703166v5

Phys.Rev.D77:047702,2008

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, comments and a reference added, typos corrected

Scientific paper

10.1103/PhysRevD.77.047702

We show that the spin connection of the standard metric on a six-dimensional sphere gives an exact solution to the generalized self-dual equations suggested by Tchrakian some years ago. We work on an SO(6) gauge theory with a higher-derivative coupling term. The model consists of vector fields only. The pseudo-energy is bound from below by a topological charge which is proportional to the winding number of spatial S^5 around the internal space SO(6). The fifth homotopy group of SO(6) is, indeed, Z. The coupling constant of higher derivative term is quadratic in the radius of the underlying space S^6.

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