BRST construction for infinite spin field on $AdS_4$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911957695594496 |
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| author | Buchbinder, I. L. Fedoruk, S. A. Isaev, A. P. Krykhtin, V. A. |
| author_facet | Buchbinder, I. L. Fedoruk, S. A. Isaev, A. P. Krykhtin, V. A. |
| contents | We generalize the first class constraints that describe the infinite spin irreducible $4D$ Poincaré group representation in flat space to new first class constraints in $AdS_4$ space. The constraints are realized as operators acting in Fock space spanned by the creation and annihilation operators with two-component spinor indices. As a result, we obtain a new closed gauge algebra on $AdS_4$ with the known flat space limit. Using this gauge algebra, we construct the BRST charge and derive the Lagrangian and gauge transformations for free bosonic infinite spin field theory in $AdS_4$ space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_14446 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | BRST construction for infinite spin field on $AdS_4$ Buchbinder, I. L. Fedoruk, S. A. Isaev, A. P. Krykhtin, V. A. High Energy Physics - Theory We generalize the first class constraints that describe the infinite spin irreducible $4D$ Poincaré group representation in flat space to new first class constraints in $AdS_4$ space. The constraints are realized as operators acting in Fock space spanned by the creation and annihilation operators with two-component spinor indices. As a result, we obtain a new closed gauge algebra on $AdS_4$ with the known flat space limit. Using this gauge algebra, we construct the BRST charge and derive the Lagrangian and gauge transformations for free bosonic infinite spin field theory in $AdS_4$ space. |
| title | BRST construction for infinite spin field on $AdS_4$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.14446 |