Magnetic Monopoles in SU(4) Gauge Theories

Brihaye, Yves; Nuyts, Jean

doi:10.1063/1.523198

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Magnetic Monopoles in SU(4) Gauge Theories

Brihaye, Yves; Nuyts, Jean

1977 • In Journal of Mathematical Physics, 18, p. 2177-2190

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https://hdl.handle.net/20.500.12907/31304

DOI
10.1063/1.523198

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Abstract :

[en] A complete set of solutions of SU(4) invariant gauge fields with SO(4) spherical symmetry (euclidian metric in space time) is obtained. It is shown that the solutions fall into two non equivalent classes following a spinor or vector decomposition of the four dimensional representation of SU(4) in SO(4). The energy of the first case and hence the topological quantum number are twice those of the second case.

Disciplines :

Physics

Author, co-author :

Brihaye, Yves

Nuyts, Jean

Language :

English

Title :

Magnetic Monopoles in SU(4) Gauge Theories

Publication date :

01 January 1977

Journal title :

Journal of Mathematical Physics

ISSN :

0022-2488

Publisher :

American Institute of Physics, United States - New York

Volume :

Pages :

2177-2190

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S814 - Physique théorique et mathématique

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Bibliography

Corrigan E., Fairlie D., Nuyts J., Olive D. Nucl. Phys. B 1976, 106:475.
’t Hooft Nucl. Phys. B 1974, 79:276.
For SU(2), the little group contains E only [(1.7)]. For SU(3), the little groups in the 3→3 case has a [formula omitted] structure, in the [formula omitted] case a [formula omitted] structure., In all these case l is Abelian. In SU(4) for the first time l can be non-Abelian.; .
Englert F., Windey P. Phys. Rev. D , We thank these authors for showing us the general theorem they had found prior to publication and for discussion about weights and roots of the dual group.; 1976, 14:2728.
Olive D. (1976) Related material is also found in. Nucl. Phys. B 113:413.
Goddard P., Nuyts J., Olive D. Nucl. Phys. B , where direct use is made of [formula omitted]; 1977, 125:1.
Goldhaber A., Wilkinson D. Spherically symmetric monopoles., Stony Brook (1977-30).; .