2016/02/29 by Matteo Beccaria, M. Beccaria, A.A. Tseytlin +1 · 19 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Field (mathematics) #Function (biology) #Mathematical analysis #Mathematical physics #Mathematics #Parity (physics) #Partition function (quantum field theory) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Quotient #Spin (aerodynamics) #hep-th
paper · pdf · doi:10.1088/1751-8113/49/29/295401
published in Journal of Physics A Mathematical and Theoretical 49(29), 295401 (Institute of Physics) · 27 pages, v2: minor typos corrected
arxiv created 2016/05/06 · openalex publication_date 2016/06/10 · arxiv updated 2016/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We find a simple relation between a free higher spin partition function on the thermal quotient of and the partition function of the associated d -dimensional conformal higher spin field defined on the thermal quotient of . Starting with a conformal higher spin field defined in , one may also associate to with another conformal field in dimensions, thus iterating AdS/CFT. We observe that in the case of , this iteration leads to a trivial 3d higher spin conformal theory with parity-even non-local action: it describes a zero total number of dynamical degrees of freedom and the corresponding partition function is equal to 1.