Gauge algebra and diffeomorphisms in string field theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913890719236096 |
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| author | Mamade, Raji Ashenafi Zwiebach, Barton |
| author_facet | Mamade, Raji Ashenafi Zwiebach, Barton |
| contents | We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the three-string vertex. We establish that to leading order in derivatives the superstring algebra is universal: identical for any choice of vertex. For bosonic strings, however, some off-shell dependence remains for vertices that require symmetrization. Off-shell information also appears because field-dependent redefinition of the gauge parameters can alter the algebra. We analyze this dependence in the language of $L_\infty$ algebras, looking at the role of trivial gauge transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23924 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gauge algebra and diffeomorphisms in string field theory Mamade, Raji Ashenafi Zwiebach, Barton High Energy Physics - Theory We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the three-string vertex. We establish that to leading order in derivatives the superstring algebra is universal: identical for any choice of vertex. For bosonic strings, however, some off-shell dependence remains for vertices that require symmetrization. Off-shell information also appears because field-dependent redefinition of the gauge parameters can alter the algebra. We analyze this dependence in the language of $L_\infty$ algebras, looking at the role of trivial gauge transformations. |
| title | Gauge algebra and diffeomorphisms in string field theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.23924 |