Multidimensional monopole and supermembrane vacua with nontrivial circle bundle

Journal Article · Tue Aug 15 04:00:00 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), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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