Multidimensional monopole and supermembrane vacua with nontrivial circle bundle

Journal Article · Tue Aug 15 00:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1101· OSTI ID:5467891

Xu, J; Li, X ^[1]

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1. Center of Theoretical Physics, Chinese Center of Advanced Science Technology (World Laboratory), Beijing, People's Republic of China (CN)

We present generalized monopole solutions in multidimensional theories. Both the Gross-Perry-Sorkin and the Bais-Batenburg solutions are contained as special cases of the general solutions. Furthermore, a new class of classical solutions of a supermembrane with nontrivial circle bundle, i.e., supermembrane monopole, are also derived. The Hamiltonian of the fermion fluctuations about the monopole vacuum configuration is weakly Hermitian, in contrast with the same problem in QED. Similarly, we can prove that the momentum operator is also weakly Hermitian. The electrically charged and dyon analogues to the monopole vacua are also discussed.

• OSTI ID: 5467891
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Vol. 40:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MONOPOLES
FIELD THEORIES
CLASSICAL MECHANICS
DYONS
FERMIONS
HAMILTONIANS
HERMITIAN OPERATORS
KALUZA-KLEIN THEORY
MEMBRANES
METRICS
QUANTUM ELECTRODYNAMICS
QUANTUM GRAVITY
SPACE-TIME
STRING MODELS
SUPERSYMMETRY
VACUUM STATES
COMPOSITE MODELS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
SYMMETRY
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory