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On the octonionic Nahm equations and self-dual membranes in 9 dimensions

Conference ·
OSTI ID:10133863
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.
Research Organization:
Virginia Polytechnic Inst., Blacksburg, VA (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
FG05-92ER40709; AS05-80ER10713
OSTI ID:
10133863
Report Number(s):
CONF-9208164--2; ON: DE93007974; IN: VPI-IHEP-92-9
Country of Publication:
United States
Language:
English

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