Hosotani breaking of E sub 6 to a subgroup of rank five

Journal Article · Sat Sep 01 04:00:00 EDT 1990 · Journal of Mathematical Physics (New York); (USA)

DOI:https://doi.org/10.1063/1.528662· OSTI ID:6504169

McInnes, B ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, MA (USA) Institute of Technology, Cambridge, MA (USA)

On multiply connected manifolds, it is possible to construct vacuum gauge configurations with nontrivial holonomy groups. This is the basis of the Hosotani mechanism. This naturally suggests a Hosotani inverse problem'': If we wish to break a gauge group {ital G} to a subgroup {ital H}, what are the possible finite holonomy groups having this effect, and what can one say about the fundamental groups of the underlying manifolds Usually, this problem is too difficult to solve, but we show that, for {ital G}={ital E}{sub 6} and {ital H} locally isomorphic to the rank five group SU(3){times}SU(2){times}U(1){times}U(1), a complete solution is possible. It is hoped that the results will aid a search for examples of Calabi--Yau manifolds leading to a low-energy gauge group of rank five.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 6504169
• Journal Information: Journal of Mathematical Physics (New York); (USA), Journal Name: Journal of Mathematical Physics (New York); (USA) Vol. 31:9; ISSN JMAPA; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPOSITE MODELS
COSMOLOGICAL CONSTANT
EXTENDED PARTICLE MODEL
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
STRING MODELS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS