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

Arvanitakis, Alex S.; Kanakaris, Dimitri (2024) Localisation without supersymmetry: towards exact results from Dirac structures in 3D N = 0 gauge theory. Journal of High Energy Physics, 2024 (11). ISSN 1029-8479

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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.

Item Type:	Article
Uncontrolled Keywords:	Chern-Simons Theories; Nonperturbative Efects; Supersymmetric Gauge Theory; Quantum Groups
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Lorena Palameta
Date Deposited:	30 Jul 2025 10:14
URI:	http://fulir.irb.hr/id/eprint/9935
DOI:	10.1007/jhep11(2024)001

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