Instantons, Euclidean supersymmetry and Wick rotations
A.V. Belitsky, S. Vandoren, P. van Nieuwenhuizen
TL;DR
This paper investigates the reality conditions of fermionic coordinates in Euclidean instanton backgrounds and develops hermitian actions for N=4 and N=2 supersymmetric Euclidean Yang-Mills theories.
Contribution
It introduces hermitian formulations of supersymmetric Euclidean Yang-Mills theories and clarifies the reality properties of fermionic collective coordinates in instanton backgrounds.
Findings
Hermitian actions for N=4 and N=2 Euclidean supersymmetric Yang-Mills theories constructed.
Clarification of the reality properties of fermionic collective coordinates in Euclidean space.
Enhanced understanding of instanton solutions in supersymmetric gauge theories.
Abstract
We discuss the reality properties of the fermionic collective coordinates in Euclidean space in an instanton background and construct hermitean actions for N = 4 and N = 2 supersymmetric Euclidean Yang-Mills theories.
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