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Mathematics, Differential Geometry, math.DG,High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
Abstract:
We present a novel approach to the study of Yang-Mills instantons on
quaternionic K\"ahler manifolds, based on an extension of the harmonic space
method of constructing instantons on hyperk\"ahler manifolds. Our results
establish a bijection between local equivalence classes of instantons on
quaternionic K\"ahler manifolds M and equivalence classes of certain
holomorphic maps on an appropriate SL_2(C)-bundle over the Swann bundle of M.