BRST construction for infinite spin field on AdS4

• Published in: European physical journal plus Vol. 139; no. 7; p. 621
• Main Authors: Buchbinder, I. L., Fedoruk, S. A., Isaev, A. P., Krykhtin, V. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 16-07-2024; Springer Nature B.V
• Subjects: Algebra; Applied and Technical Physics; Atomic; Complex Systems; Condensed Matter Physics; Constraints; Construction; Field theory; Mathematical and Computational Physics; Molecular; Operators (mathematics); Optical and Plasma Physics; Physics; Physics and Astronomy; Regular Article; Theoretical
• ISSN: 2190-5444
• DOI: 10.1140/epjp/s13360-024-05430-6

We generalize the first-class constraints that describe the infinite spin irreducible 4
D
Poincaré group representation in flat space to new first-class constraints in
A
d
S
4
space. The constraints are realized as operators acting in Fock space spanned by the creation and annihilation operators which are two-component spinors. As a result, we obtain a new closed gauge algebra on
A
d
S
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
A
d
S
4
space.