Compact Gauge Fields for Supersymmetric Lattices
Mithat Unsal
TL;DR
This paper introduces a compact formulation of Euclidean extended supersymmetric lattice gauge theories using polar decomposition, simplifying the construction of gauge-invariant operators and aligning with standard Wilson gauge actions.
Contribution
It demonstrates that many supersymmetric lattice gauge theories can be reformulated as compact models with standard Wilson gauge actions via polar decomposition.
Findings
The gauge part of the action is equivalent to the Wilson action.
The formulation enables easier construction of gauge-invariant operators.
It provides a unified framework for supersymmetric lattice theories.
Abstract
We show that a large class of Euclidean extended supersymmetric lattice gauge theories constructed in [hep-lat/0302017 - hep-lat/0503039] can be regarded as compact formulations by using the polar decomposition of the complex link fields. In particular, the gauge part of the supersymmetric lattice action is the standard Wilson action. This formulation facilitates the construction of gauge invariant operators.
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