# Instantons on Special Geometries

Maike Tormählen (U. Hannover)

21.11.2013 at 16:15

Instantons in higher-dimensional gauge theories appear, for example, in the
context of string compactification. The instanton condition on the compact part
of spacetime ensures supersymmetry preservation. My aim is to better
understand instantons on special holonomy manifolds. I introduce higherdimensional
instantons and show how the instanton condition can be rewritten
as a set of differential equations and algebraic conditions. These equations
can be solved under certain simplifying assuptions. The algebraic conditions
can be interpreted as relations of a certain quiver gauge theory. I describe the
construction of these quivers and show that the instanton conditions match the
quiver relations.

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