Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916929894088704 |
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| author | Barvinsky, A. O. Buchbinder, I. L. Krykhtin, V. A. Nesterov, D. V. |
| author_facet | Barvinsky, A. O. Buchbinder, I. L. Krykhtin, V. A. Nesterov, D. V. |
| contents | We develop the quantization of a recently proposed model describing a totally antisymmetric rank-$p$ tensor-spinor field (a fermionic $p$-form theory) in $d$-dimensional anti-de Sitter (AdS) space. The model provides a new nontrivial example of a reducible gauge theory, in which gauge transformations are linearly dependent and the degree of reducibility increases with $p$. It is well known that in such cases the standard Faddeev-Popov-DeWitt prescription for the generating functional is not applicable. We quantize the fermionic $p$-form theory using the general Batalin-Vilkovisky (BV) formalism, employing two distinct gauge fermions associated with gauge-fixing functions of different admissible ranks, confirming the independence from the gauge choice. As a result, we obtain the quantum effective action in terms of a sequence of functional determinants corresponding to specific Dirac-like operators on AdS space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01863 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$ Barvinsky, A. O. Buchbinder, I. L. Krykhtin, V. A. Nesterov, D. V. High Energy Physics - Theory We develop the quantization of a recently proposed model describing a totally antisymmetric rank-$p$ tensor-spinor field (a fermionic $p$-form theory) in $d$-dimensional anti-de Sitter (AdS) space. The model provides a new nontrivial example of a reducible gauge theory, in which gauge transformations are linearly dependent and the degree of reducibility increases with $p$. It is well known that in such cases the standard Faddeev-Popov-DeWitt prescription for the generating functional is not applicable. We quantize the fermionic $p$-form theory using the general Batalin-Vilkovisky (BV) formalism, employing two distinct gauge fermions associated with gauge-fixing functions of different admissible ranks, confirming the independence from the gauge choice. As a result, we obtain the quantum effective action in terms of a sequence of functional determinants corresponding to specific Dirac-like operators on AdS space. |
| title | Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.01863 |