Abstract
AbstractWe construct examples of deformed Hermitian Yang–Mills connections and deformed $$\textrm{Spin}(7)$$
Spin
(
7
)
-instantons (also called $$\textrm{Spin}(7)$$
Spin
(
7
)
deformed Donaldson–Thomas connections) on the cotangent bundle of $$\mathbb {C}\mathbb {P}^2$$
C
P
2
endowed with the Calabi hyperKähler structure. Deformed $$\textrm{Spin}(7)$$
Spin
(
7
)
-instantons on cones over 3-Sasakian 7-manifolds are also constructed. We show that these can be used to distinguish between isometric structures and also between $$\textrm{Sp}(2)$$
Sp
(
2
)
and $$\textrm{Spin}(7)$$
Spin
(
7
)
holonomy cones. To the best of our knowledge, these are the first non-trivial examples of deformed $$\textrm{Spin}(7)$$
Spin
(
7
)
-instantons.
Funder
Fundação de Amparo à Pesquisa do Estado de São Paulo
Università degli Studi di Torino
Publisher
Springer Science and Business Media LLC
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