Classical solution in six-dimensional gauge theory with higher derivative coupling

Journal Article · Fri Feb 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.047702· OSTI ID:21039219

Kihara, Hironobu; Nitta, Muneto ^[1]

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1. Osaka City University, Advanced Mathematical Institute (OCAMI), 3-3-138 Sugimoto, Sumiyoshi, Osaka 558-8585 (Japan)

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 S{sup 5} 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 S{sup 6}.

• OSTI ID: 21039219
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
COUPLING CONSTANTS
DUALITY
EXACT SOLUTIONS
GAUGE INVARIANCE
MANY-DIMENSIONAL CALCULATIONS
QUANTUM FIELD THEORY
SO-6 GROUPS
SPACE
SPIN
TOPOLOGY
VECTOR FIELDS