On the octonionic Nahm equations and self-dual membranes in 9 dimensions
Abstract
We introduce an analog of the Nahm equations for the spatially constant Yang-Mills gauge fields in 8 dimensions. We show that they can be derived from the vanishing of an octonionic moment map. In the case when the gauge group is SU ([infinity]) the octonionic Nahm equations provide a self-duality condition for a membrane in 9 dimensional space-time.
- Authors:
- Publication Date:
- Research Org.:
- Virginia Polytechnic Inst., Blacksburg, VA (United States)
- Sponsoring Org.:
- USDOE; USDOE, Washington, DC (United States)
- OSTI Identifier:
- 7060435
- Report Number(s):
- CONF-9208164-2
ON: DE93007974
- DOE Contract Number:
- FG05-92ER40709; AS05-80ER10713
- Resource Type:
- Conference
- Resource Relation:
- Conference: 6. symmetries in science, Bregenz (Austria), 2-7 Aug 1992
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; YANG-MILLS THEORY; EQUATIONS; MANY-DIMENSIONAL CALCULATIONS; HAMILTONIANS; INSTANTONS; SPACE-TIME; SU GROUPS; LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; QUASI PARTICLES; SYMMETRY GROUPS; 662120* - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-)
Citation Formats
Grabowski, M P, and Tze, Chia-Hsiung. On the octonionic Nahm equations and self-dual membranes in 9 dimensions. United States: N. p., 1992.
Web.
Grabowski, M P, & Tze, Chia-Hsiung. On the octonionic Nahm equations and self-dual membranes in 9 dimensions. United States.
Grabowski, M P, and Tze, Chia-Hsiung. 1992.
"On the octonionic Nahm equations and self-dual membranes in 9 dimensions". United States.
@article{osti_7060435,
title = {On the octonionic Nahm equations and self-dual membranes in 9 dimensions},
author = {Grabowski, M P and Tze, Chia-Hsiung},
abstractNote = {We introduce an analog of the Nahm equations for the spatially constant Yang-Mills gauge fields in 8 dimensions. We show that they can be derived from the vanishing of an octonionic moment map. In the case when the gauge group is SU ([infinity]) the octonionic Nahm equations provide a self-duality condition for a membrane in 9 dimensional space-time.},
doi = {},
url = {https://www.osti.gov/biblio/7060435},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Jul 01 00:00:00 EDT 1992},
month = {Wed Jul 01 00:00:00 EDT 1992}
}
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