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- Title
ON THE UNIQUENESS OF HIGHER-SPIN SYMMETRIES IN ADS AND CFT.
- Authors
BOULANGER, N.; PONOMAREV, D.; SKVORTSOV, E.; TARONNA, M.
- Abstract
We study the uniqueness of higher-spin algebras which are at the core of higher-spin theories in AdS and of CFTs with exact higher-spin symmetry, i.e. conserved tensors of rank greater than two. The Jacobi identity for the gauge algebra is the simplest consistency test that appears at the quartic order for a gauge theory. Similarly, the algebra of charges in a CFT must also obey the Jacobi identity. These algebras are essentially the same. Solving the Jacobi identity under some simplifying assumptions listed out, we obtain that the Eastwood-Vasiliev algebra is the unique solution for d = 4 and d≥7. In 5d, there is a one-parameter family of algebras that was known before. In particular, we show that the introduction of a single higher-spin gauge field/current automatically requires the infinite tower of higher-spin gauge fields/currents. The result implies that from all the admissible non-Abelian cubic vertices in d, that have been recently classified for totally symmetric higher-spin gauge fields, only one vertex can pass the Jacobi consistency test. This cubic vertex is associated with a gauge deformation that is the germ of the Eastwood-Vasiliev's higher-spin algebra.
- Subjects
UNIQUENESS (Mathematics); NUCLEAR spin; SYMMETRY (Physics); CONFORMAL field theory; JACOBI identity; GRAVITY
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2013, Vol 28, Issue 31, p-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X13501625