Covariant quantization of totally antisymmetric tensor-spinor field in AdS𝑑; Physical Review D; Vol. 113
| Parent link: | Physical Review D.— .— New York: American Physical Society Vol. 113.— 2026.— Article number 045022, 35 p. |
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| Other Authors: | , , , |
| Summary: | Title screen 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 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 AM_Agreement |
| Language: | English |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://doi.org/10.1103/1f2m-wg1p |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=686184 |
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| 200 | 1 | |a Covariant quantization of totally antisymmetric tensor-spinor field in AdS |f A. O. Barvinsky, I. L. Buchbinder, V. A. Krykhtin and D. V. Nesterov | |
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| 330 | |a We develop the quantization of a recently proposed model describing a totally antisymmetric rank- tensor-spinor field (a fermionic -form theory) in -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 . 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 -form theory using the general Batalin-Vilkovisky 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 | ||
| 371 | 0 | |a AM_Agreement | |
| 461 | 1 | |t Physical Review D |c New York |n American Physical Society | |
| 463 | |t Vol. 113 |v Article number 045022, 35 p. |d 2026 | ||
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| 701 | 1 | |a Barvinsky |b A. O. |g Andrey Olegovich | |
| 701 | 1 | |a Bukhbinder |b I. L. |g Iosif Lvovich | |
| 701 | 1 | |a Krykhtin |b V. A. |c physicist |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1967- |g Vladimir Aleksandrovich |9 89244 | |
| 701 | 1 | |a Nesterov |b D. V. |g Dmitry Vladislavovich | |
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