Communications in Mathematical Physics

, Volume 348, Issue 3, pp 959–990 | Cite as

Deformations of Nearly Kähler Instantons

  • Benoit Charbonneau
  • Derek Harland
Open Access


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).


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Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of WaterlooWaterlooCanada
  2. 2.Perimeter Institute for Theoretical PhysicsWaterlooCanada
  3. 3.School of MathematicsUniversity of LeedsLeedsUK

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