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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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Datensatz-Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-768E-D Versions-Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-1687-E
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 Urheber:
Boulanger, Nicolas, Autor
Ponomarev, Dmitry, Autor
Skvortsov, E. D., Autor
Taronna, Massimo1, Autor              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Schlagwörter: High Energy Physics - Theory, hep-th
 Zusammenfassung: 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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 Datum: 2013-05-222013
 Publikationsstatus: Im Druck publiziert
 Seiten: 34 pages
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: arXiv: 1305.5180
DOI: 10.1142/S0217751X13501625
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Titel: International Journal of Modern Physics A
  Andere : Int. J. Mod. Phys. A
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Singapore : World Scientific
Seiten: - Band / Heft: 28 (31) Artikelnummer: 1350162 Start- / Endseite: - Identifikator: ISSN: 0217-751X
CoNE: /journals/resource/954925493937