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Physical Review D

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Phys. Rev. D (1)

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Adjustment of Faddeev-Popov quantization to reducible gauge theories: Antisymmetric tensor fermion in ${AdS}_{d}$ space

Andrei Barvinsky ^1,*, Ioseph Buchbinder ^2,†, Vladimir Krykhtin ^3,‡, and Dmitry Nesterov ^1,§

¹I. E. Tamm Theory Department, P. N. Lebedev Physical Institute, 53 Leninsky Prospect, 119991 Moscow, Russia
²Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 6, Joliot Curie, 141980 Dubna, Russia; Center of Theoretical Physics, Tomsk State Pedagogical University, 60 Kievskaya Ulitsa, 634061 Tomsk, Russia; and National Research Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia
³Tomsk Polytechnic University, Lenin Avenue 30, 634050 Tomsk, Russia

^*Contact author: barvin@td.lpi.ru
^†Contact author: buchbinder@theor.jinr.ru
^‡Contact author: krykhin@tspu.ru
^§Contact author: nesterov@lpi.ru

Covariant quantization of totally antisymmetric tensor-spinor field in AdSd

A. O. Barvinsky, I. L. Buchbinder, V. A. Krykhtin, and D. V. Nesterov

Phys. Rev. D 113 045022 (2026)

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ISSN 2470-0029 (online), 2470-0010 (print).

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