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On SO(8)± valued Yang–Mills fields and multi-instanton solutions in eight-dimensional curved space (1993)

Dündarer, A. Res¸it

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 34 (1993), S. 1162-1168

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: SO(8)± valued Yang–Mills multi-instantons are generalized to include three more winding numbers by parametrizing S8=CP1+×CP3 and performing the map x = (u,v1,v2,v3) → w = (un,vm11,vm22,vm33), 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×(Z+)3 through the decomposition SO(8)=SO(8)/SO(7)×SO(7)/SO(6)×SO(6)/U(3)×U(3). Beside the duality relation FΛF=±*FΛF), these fields also satisfy FΛFΛF∼±*F.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530191

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