2021/08/31 by Pavel Gerasimenko, Alexey Sharapov, Evgeny Skvortsov
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Bosonization #Duality (order theory) #Fermion #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Spin (aerodynamics) #Symmetry (geometry) #Uniqueness #hep-th
paper · pdf · doi:10.1007/jhep01(2022)097
21 pages + Appendices + Biblio=32; comments and refs added, matches the published version; ref added
openalex publication_date 2022/01/01 · arxiv created 2022/03/08 · arxiv updated 2022/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore a class of CFT's with higher spin currents and charges. Away from the free or N=∞ limit the non-conservation of currents is governed by operators built out of the currents themselves, which deforms the algebra of charges by, and together with, its action on the currents. This structure is encoded in a certain A_∞/L_∞-algebra. Under quite general assumptions we construct invariants of the deformed higher spin symmetry, which are candidate correlation functions. In particular, we show that there is a finite number of independent structures at the n-point level. The invariants are found to have a form reminiscent of a one-loop exact theory. In the case of Chern--Simons vector models the uniqueness of the invariants implies the three-dimensional bosonization duality in the large-N limit.