Work

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

Year: 2024

Type: article

Abstract: A bstract 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep11(2024)001

Authors: Alex S. Arvanitakis, Dimitri Kanakaris

Institutions: Vrije Universiteit Brussel, Ruđer Bošković Institute, International Solvay Institutes, University of Hertfordshire

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Chulalongkorn University, Fonds Wetenschappelijk Onderzoek, Vrije Universiteit Brussel, Vlaamse regering

Awards: G6123845971, Duality, Geometry and Spacetime