A Taxonomy of Twists of Supersymmetric Yang--Mills Theory
| Autor: | Elliott, Chris, Safronov, Pavel, Williams, Brian R. |
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| Přispěvatelé: | University of Zurich |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
FOS: Physical sciences 340 Law 610 Medicine & health Mathematical Physics (math-ph) REF-ready metadata 10123 Institute of Mathematics High Energy Physics::Theory 510 Mathematics High Energy Physics - Theory (hep-th) Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Mathematical Physics |
| Zdroj: | Elliott, C, Safronov, P & Williams, B R 2020 ' A Taxonomy of Twists of Supersymmetric Yang--Mills Theory ' . < https://arxiv.org/abs/2002.10517 > |
| Popis: | We give a complete classification of twists of supersymmetric Yang--Mills theories in dimensions $2\leq n \leq 10$. We formulate supersymmetric Yang--Mills theory classically using the BV formalism, and then we construct an action of the supersymmetry algebra using the language of $L_\infty$ algebras. For each orbit in the space of square-zero supercharges in the supersymmetry algebra, under the action of the spin group and the group of R-symmetries, we give a description of the corresponding twisted theory. These twists can be described in terms of mixed holomorphic-topological versions of Chern--Simons and BF theory. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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