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  Metric- and frame-like higher-spin gauge theories in three dimensions

Fredenhagen, S., & Kessel, P. (2015). Metric- and frame-like higher-spin gauge theories in three dimensions. Journal of Physics A, 48(3): 035402. doi:10.1088/1751-8113/48/3/035402.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-CCE3-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-9466-F
Genre: Journal Article

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 Creators:
Fredenhagen, Stefan1, Author              
Kessel, Pan1, Author              
Affiliations:
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 study the relation between the frame-like and metric-like formulation of higher-spin gauge theories in three space-time dimensions. We concentrate on the theory that is described by an SL(3) x SL(3) Chern-Simons theory in the frame-like formulation. The metric-like theory is obtained by eliminating the generalised spin connection by its equation of motion, and by expressing everything in terms of the metric and a spin-3 Fronsdal field. We give an exact map between fields and gauge parameters in both formulations. To work out the gauge transformations explicitly in terms of metric-like variables, we have to make a perturbative expansion in the spin-3 field. We describe an algorithm how to do this systematically, and we work out the gauge transformations to cubic order in the spin-3 field. We use these results to determine the gauge algebra to this order, and explain why the commutator of two spin-3 transformations only closes on-shell.

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 Dates: 2014-08-122015
 Publication Status: Published in print
 Pages: 26 pages, no figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1408.2712
DOI: 10.1088/1751-8113/48/3/035402
 Degree: -

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Title: Journal of Physics A
Source Genre: Journal
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Pages: - Volume / Issue: 48 (3) Sequence Number: 035402 Start / End Page: - Identifier: -