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The variant of ADHMN construction associated with q-analysis

Atsushi Nakamula
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Abstract

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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Atsushi Nakamula. 2006-08-29. The variant of ADHMN construction associated with q-analysis. https://doi.org/10.1063/1.2436987

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