Supersymmetry and gauge theory on Calabi-Yau 3-folds
J.M. Figueroa-O'Farrill, A. Imaanpur, J. McCarthy
TL;DR
This paper explores the relationship between supersymmetric Yang-Mills theory reduced on Calabi-Yau 3-folds and the balanced field theory of Kähler Yang-Mills equations, connecting supersymmetry with complex geometry.
Contribution
It establishes a construction linking supersymmetric gauge theories on Calabi-Yau 3-folds to Donaldson-Uhlenbeck-Yau's Kähler Yang-Mills equations.
Findings
Shows the cohomological theory derived from supersymmetric reduction
Connects supersymmetry with Donaldson-Uhlenbeck-Yau equations
Provides a geometric interpretation of supersymmetric gauge theories
Abstract
We consider the dimensional reduction of supersymmetric Yang-Mills on a Calabi-Yau 3-fold. We show by construction how the resulting cohomological theory is related to the balanced field theory of the Kaehler Yang-Mills equations introduced by Donaldson and Uhlenbeck-Yau.
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