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  Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal

Boulanger, N., Kessel, P., Skvortsov, E. D., & Taronna, M. (2016). Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal. Journal of Physics A, 49(9): 095402. doi:10.1088/1751-8113/49/9/095402.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0D3F-B Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E8A5-E
Genre: Journal Article

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 Creators:
Boulanger, Nicolas, Author
Kessel, Pan1, Author              
Skvortsov, E. D.1, Author              
Taronna, Massimo1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We consider four-dimensional Higher-Spin Theory at the first nontrivial order corresponding to the cubic action. All Higher-Spin interaction vertices are explicitly obtained from Vasiliev's equations. In particular, we obtain the vertices that are not determined solely by the Higher-Spin algebra structure constants. The dictionary between the Fronsdal fields and Higher-Spin connections is found and the corrections to the Fronsdal equations are derived. These corrections turn out to involve derivatives of arbitrary order. We observe that the vertices not determined by the Higher-Spin algebra produce naked infinities, when decomposed into the minimal derivative vertices and improvements. Therefore, standard methods can only be used to check a rather limited number of correlation functions within the HS AdS/CFT duality. A possible resolution of the puzzle is discussed.

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 Dates: 2015-08-172016
 Publication Status: Published in print
 Pages: 56 pages=40+Appendices; 1 figure
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 Identifiers: arXiv: 1508.04139
URI: http://arxiv.org/abs/1508.04139
DOI: 10.1088/1751-8113/49/9/095402
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Title: Journal of Physics A
Source Genre: Journal
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Pages: - Volume / Issue: 49 (9) Sequence Number: 095402 Start / End Page: - Identifier: -