ON SO(8)+/- VALUED YANG-MILLS FIELDS AND MULTIINSTANTON SOLUTIONS IN 8-DIMENSIONAL CURVED SPACE

Date

1993-03-01

Author

DUNDARER, A.Reşit

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SO(8)+/- valued Yang-Mills multi-instantons are generalized to include three more winding numbers by parametrizing S8 = CP1+ X CP3 and performing the map x = (u,v1,v2,v3) --> w = (u(n),v1m1,v2m2,v3m3), so that the action is proportional to the product nm1m2m3. The fields that emerge in this parametrization form local representations of SO(8) at every point (v,m) of CP3 X (Z+)3 through the decomposition SO(8) = SO(8)/SO(7)XSO(7)/SO(6)XSO(6)/U(3)XU(3). Beside the duality relation F AND F = +/-*(F AND F), these fields also satisfy F AND F AND F approximately +/-*F.

Subject Keywords

Special relativity, Instanton

URI

https://hdl.handle.net/11511/64174

Journal

JOURNAL OF MATHEMATICAL PHYSICS

Collections

Department of Physics, Article

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Citation Formats

A. R. DUNDARER, “ON SO(8)+/- VALUED YANG-MILLS FIELDS AND MULTIINSTANTON SOLUTIONS IN 8-DIMENSIONAL CURVED SPACE,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 1162–1168, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64174.