2012/11/30 by Constantin Candu, Matthias R. Gaberdiel, Maximilian Kelm +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Current algebra #Duality (order theory) #Holography #Minimal model #Minimal models #Noncommutative and Quantum Gravity Theories #Quantum #Quantum field theory #Spin (aerodynamics) #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1007/jhep01(2013)185
32 pages, v2: reference added, minor changes in text
arxiv created 2012/12/10 · openalex publication_date 2013/01/01 · arxiv updated 2013/02/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The even spin We_∞ algebra that is generated by the stress energy tensor together with one Virasoro primary field for every even spin s ≥ 4 is analysed systematically by studying the constraints coming from the Jacobi identities. It is found that the algebra is characterised, in addition to the central charge, by one free parameter that can be identified with the self-coupling constant of the spin 4 field. We show that We_∞ can be thought of as the quantisation of the asymptotic symmetry algebra of the even higher spin theory on AdS3. On the other hand, We_∞ is also quantum equivalent to the so(N) coset algebras, and thus our result establishes an important aspect of the even spin minimal model holography conjecture. The quantum equivalence holds actually at finite central charge, and hence opens the way towards understanding the duality beyond the leading 't Hooft limit.