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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.05310 |
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| _version_ | 1866929522609225728 |
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| author | Fırat, Atakan Hilmi |
| author_facet | Fırat, Atakan Hilmi |
| contents | Sen's formalism is a mechanism for eliminating constraints on the dynamical fields that are imposed independently from equations of motion by employing spurious free fields. In this note a cyclic homotopy associative algebra underlying Sen's formalism is developed. The novelty lies in the construction of a symplectic form and cyclic $A_\infty$ maps on an extended algebra that combines the dynamical and spurious fields. This algebraic presentation makes the gauge invariance of theories using Sen's formulation manifest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05310 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $A_\infty$ perspective to Sen's formalism Fırat, Atakan Hilmi High Energy Physics - Theory Sen's formalism is a mechanism for eliminating constraints on the dynamical fields that are imposed independently from equations of motion by employing spurious free fields. In this note a cyclic homotopy associative algebra underlying Sen's formalism is developed. The novelty lies in the construction of a symplectic form and cyclic $A_\infty$ maps on an extended algebra that combines the dynamical and spurious fields. This algebraic presentation makes the gauge invariance of theories using Sen's formulation manifest. |
| title | $A_\infty$ perspective to Sen's formalism |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.05310 |