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 |