The variant of ADHMN construction associated with q-analysis

Details The variant of ADHMN construction associated with q-analysis The variant of ADHMN construction associated with q-analysis

2006-08-29

arxiv.org/abs/hep-th/0608205v1

J.Math.Phys.48:023505,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, No figures

Scientific paper

10.1063/1.2436987

A q-deformation of the ADHMN caloron construction is considered, under which the anti-selfdual (ASD) conditions of the gauge fields are preserved. It is shown that the q-dependent Nahm data with certain constraints are crucial to determine the ASD gauge fields, as in the case of ordinary caloron construction. As an application of the q-deformed ADHMN construction, we give a q-deformed caloron of Harrington-Shepard type. Some limits of the parameters are also considered.

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