A -deformation of the ADHMN caloron construction is considered, under which the anti-self-dual (ASD) conditions of the gauge fields are preserved. It is shown that the -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 -deformed ADHMN construction, we give a -deformed caloron of Harrington-Shepard type. Some limits of the parameters are also considered.
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