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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2511.00144 |
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| _version_ | 1866909897501704192 |
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| author | Arvanitakis, Alex S. |
| author_facet | Arvanitakis, Alex S. |
| contents | I define topological twists of supersymmetric field theories in the case when the supercharges involved obey an ``open'' algebra. Using the Batalin-Vilkovisky field-antifield formalism, I construct twisted theories algorithmically from the supersymmetry data, and explain supersymmetric localisation in terms of anticanonical transformations. I also treat equivariant topological twists and explain how BV observables contain the equivariant cohomology of the space of histories. Some results are generalised to theories with two topological supercharges -- such as the ``balanced'' topological field theories of Dijkgraaf and Moore -- using the geometry of ``differential gorms'' of Kochan and Ševera. Finally, I exhibit examples of these constructions, including a $\mathrm{U}(1)$-equivariant topological B-model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00144 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Twists and Gorms and Antifields, oh my! Arvanitakis, Alex S. High Energy Physics - Theory Mathematical Physics Quantum Algebra I define topological twists of supersymmetric field theories in the case when the supercharges involved obey an ``open'' algebra. Using the Batalin-Vilkovisky field-antifield formalism, I construct twisted theories algorithmically from the supersymmetry data, and explain supersymmetric localisation in terms of anticanonical transformations. I also treat equivariant topological twists and explain how BV observables contain the equivariant cohomology of the space of histories. Some results are generalised to theories with two topological supercharges -- such as the ``balanced'' topological field theories of Dijkgraaf and Moore -- using the geometry of ``differential gorms'' of Kochan and Ševera. Finally, I exhibit examples of these constructions, including a $\mathrm{U}(1)$-equivariant topological B-model. |
| title | Twists and Gorms and Antifields, oh my! |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2511.00144 |