Examples of deformed G2-instantons/Donaldson-Thomas connections
Abstract
In this note, we provide the first non-trivial examples of deformed G2-instantons, originally called deformed Donaldson-Thomas connections. As a consequence, we see how deformed G2-instantons can be used to distinguish between nearly parallel G2-structures and isometric G2-structures on 3-Sasakian 7-manifolds. Our examples give non-trivial deformed G2-instantons with obstructed deformation theory and situations where the moduli space of deformed G2-instantons has components of different dimensions. We finally study the relation between our examples and a Chern-Simons type functional which has deformed G2-instantons as critical points.
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