BRST construction for infinite spin field on $AdS_4$

Autor: Buchbinder, I. L., Fedoruk, S. A., Isaev, A. P., Krykhtin, V. A.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We generalize the first class constraints that describe the infinite spin irreducible $4D$ Poincar\'{e} group representation in flat space to new first class constraints in $AdS_4$ space. The constraints are realized as operators acting in Fock space spanned by the creation and annihilation operators with two-component spinor indices. As a result, we obtain a new closed gauge algebra on $AdS_4$ 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 $AdS_4$ space.
Comment: 1 + 16 pages; v4: published version
Databáze: arXiv