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

Hironobu Kihara·Muneto Nitta
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Abstract

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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Hironobu Kihara, Muneto Nitta. 2011-02-02. A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling. https://doi.org/10.1103/physrevd.77.047702

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