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arXiv · 0907.4174

Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry

Stephane Detournay·Dietmar Klemm·Carlo Pedroli
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Abstract

Using spinorial geometry techniques, we classify the supersymmetric solutions of euclidean ${\cal N}=4$ super Yang-Mills theory. These backgrounds represent generalizations of instantons with nontrivial scalar fields turned on, and satisfy some constraints that bear a similarity with the Hitchin equations, and contain the Donaldson equations as a special subcase. It turns out that these constraints can be obtained by dimensional reduction of the octonionic instanton equations, and may be rephrased in terms of a selfduality-like condition for a complex connection. We also show that the supersymmetry conditions imply the equations of motion only partially.

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Stephane Detournay, Dietmar Klemm, Carlo Pedroli. 2009-10-12. Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry. https://doi.org/10.1088/1126-6708/2009/10/030

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