Fundamental solutions for the super Laplace and Dirac operators and all their natural powers
Hendrik De Bie, Frank Sommen
TL;DR
This paper derives fundamental solutions for super Dirac and Laplace operators and their powers using Clifford analysis, advancing the mathematical understanding of these operators in supersymmetric contexts.
Contribution
It provides explicit fundamental solutions for super Dirac and Laplace operators and their powers, a novel contribution in the framework of Clifford analysis.
Findings
Explicit fundamental solutions derived
Enhanced understanding of super operators
Framework applicable to supersymmetric models
Abstract
The fundamental solutions of the super Dirac and Laplace operators and their natural powers are determined within the framework of Clifford analysis.
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