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arXiv · 2404.14472

Localisation without supersymmetry: towards exact results from Dirac structures in 3D $N = 0$ gauge theory

Alex S. Arvanitakis·Dimitri Kanakaris
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Abstract

We show, by introducing purely auxiliary gluinos and scalars, that the quantum path integral for a class of 3D interacting non-supersymmetric gauge theories localises. The theories in this class all admit a `Manin gauge theory' formulation, that we introduce; it is obtained by enhancing the gauge algebra of the theory to a Dirac structure inside a Manin pair. This machinery allows us to do localisation computations for every theory in this class at once, including for 3D Yang-Mills theory, and for its Third Way deformation; the latter calculation casts the Third Way path integral into an almost 1-loop exact form.

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Alex S. Arvanitakis, Dimitri Kanakaris. 2024-04-22. Localisation without supersymmetry: towards exact results from Dirac structures in 3D $N = 0$ gauge theory. https://arxiv.org/abs/2404.14472

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