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  On the uniqueness of higher-spin symmetries in AdS and CFT

Boulanger, N., Ponomarev, D., Skvortsov, E. D., & Taronna, M. (2013). On the uniqueness of higher-spin symmetries in AdS and CFT. International Journal of Modern Physics A, 28(31): 1350162. doi:10.1142/S0217751X13501625.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-768E-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-1687-E
Genre: Journal Article

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1305.5180.pdf (Preprint), 360KB
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 Creators:
Boulanger, Nicolas, Author
Ponomarev, Dmitry, Author
Skvortsov, E. D., Author
Taronna, Massimo1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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 spelled out, we obtain that the Eastwood-Vasiliev algebra is the unique solution for d=4 and d>6. 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 AdS, 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.

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 Dates: 2013-05-222013
 Publication Status: Published in print
 Pages: 34 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1305.5180
DOI: 10.1142/S0217751X13501625
 Degree: -

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Title: International Journal of Modern Physics A
  Other : Int. J. Mod. Phys. A
Source Genre: Journal
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Publ. Info: Singapore : World Scientific
Pages: - Volume / Issue: 28 (31) Sequence Number: 1350162 Start / End Page: - Identifier: ISSN: 0217-751X
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925493937