Hyperkähler cones and instantons on quaternionic Kähler manifolds

Devchand, Chandrashekar; Pontecorvo , Massimiliano; Spiro , Andrea

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Hyperkähler cones and instantons on quaternionic Kähler manifolds

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Devchand, Chandrashekar
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2002.00933.pdf
(プレプリント), 428KB

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引用

Devchand, C., Pontecorvo, M., & Spiro, A. (in preparation). Hyperkähler cones and instantons on quaternionic Kähler manifolds.

引用: https://hdl.handle.net/21.11116/0000-0005-A66D-6

要旨

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.