Charbonneau, B and Harland, D orcid.org/0000-0002-4110-9673 (2016) Deformations of nearly Kähler instantons. Communications in Mathematical Physics, 348 (3). pp. 959-990. ISSN 0010-3616
Abstract
We formulate the deformation theory for instantons on nearly Kähler six-manifolds using spinors and Dirac operators. Using this framework we identify the space of deformations of an irreducible instanton with semisimple structure group with the kernel of an elliptic operator, and prove that abelian instantons are rigid. As an application, we show that the canonical connection on three of the four homogeneous nearly Kähler six-manifolds G/H is a rigid instanton with structure group H. In contrast, these connections admit large spaces of deformations when regarded as instantons on the tangent bundle with structure group SU(3).
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 21 Apr 2016 11:07 |
Last Modified: | 17 Jan 2018 06:57 |
Published Version: | http://dx.doi.org/10.1007/s00220-016-2675-y |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s00220-016-2675-y |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98730 |