Localisation without supersymmetry: towards exact results from Dirac structures in 3D $N = 0$ gauge theory
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910418376589312 |
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| author | Arvanitakis, Alex S. Kanakaris, Dimitri |
| author_facet | Arvanitakis, Alex S. Kanakaris, Dimitri |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14472 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Localisation without supersymmetry: towards exact results from Dirac structures in 3D $N = 0$ gauge theory Arvanitakis, Alex S. Kanakaris, Dimitri High Energy Physics - Theory Mathematical Physics 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. |
| title | Localisation without supersymmetry: towards exact results from Dirac structures in 3D $N = 0$ gauge theory |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2404.14472 |