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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.10400 |
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| _version_ | 1866918159151267840 |
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| author | Mikhailov, Andrei |
| author_facet | Mikhailov, Andrei |
| contents | Pure spinor formalism and RNS formalism are related by a chain of equivalences constructed by introducing and integrating-out BRST quartets. This is known as B-RNS-GSS formalism. One of the steps can be understood as adding auxiliary fields to lift a strong homotopy action of the SUSY Lie superalgebra in the large Hilbert space to a strict action. We develop a general prescription for this ``strictification'' procedure, which can be applied for any strong homotopy action of a Lie superalgebra. We explain how it is related to the B-RNS-GSS formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10400 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | B-RNS-GSS formalism and $L_{\infty}$-actions Mikhailov, Andrei High Energy Physics - Theory 81T30 (Primary), 17B55 (Secondary) Pure spinor formalism and RNS formalism are related by a chain of equivalences constructed by introducing and integrating-out BRST quartets. This is known as B-RNS-GSS formalism. One of the steps can be understood as adding auxiliary fields to lift a strong homotopy action of the SUSY Lie superalgebra in the large Hilbert space to a strict action. We develop a general prescription for this ``strictification'' procedure, which can be applied for any strong homotopy action of a Lie superalgebra. We explain how it is related to the B-RNS-GSS formalism. |
| title | B-RNS-GSS formalism and $L_{\infty}$-actions |
| topic | High Energy Physics - Theory 81T30 (Primary), 17B55 (Secondary) |
| url | https://arxiv.org/abs/2510.10400 |