Connection versus metric description for non-AdS solutions in higher-spin theories

Lei, Yang; Ross, Simon F.

doi:10.1088/0264-9381/32/18/185005

Connection versus metric description for non-AdS solutions in higher-spin theories

Lei, Yang; Ross, Simon F.

Authors

Yang Lei

Professor Simon Ross s.f.ross@durham.ac.uk
Professor

Abstract

We consider recently-constructed solutions of three-dimensional ${SL}(N,{\mathbb{R}})\times {SL}(N,{\mathbb{R}})$ Chern–Simons theories with non-relativistic symmetries. Solutions of the Chern–Simons theories can generically be mapped to solutions of a gravitational theory with a higher-spin gauge symmetry. However, we will show that some of the non-relativistic solutions are not equivalent to metric solutions, as this mapping fails to be invertible. We also show that these Chern–Simons solutions always have a global ${SL}(N,{\mathbb{R}})\times {SL}(N,{\mathbb{R}})$ symmetry. We argue that these results pose a challenge to constructing a duality relating these solutions to field theories with non-relativistic symmetries.

Citation

Lei, Y., & Ross, S. F. (2015). Connection versus metric description for non-AdS solutions in higher-spin theories. Classical and Quantum Gravity, 32(18), Article 185005. https://doi.org/10.1088/0264-9381/32/18/185005

Journal Article Type	Article
Acceptance Date	Jul 27, 2015
Publication Date	Sep 24, 2015
Deposit Date	Sep 21, 2015
Publicly Available Date	Aug 26, 2016
Journal	Classical and Quantum Gravity
Print ISSN	0264-9381
Electronic ISSN	1361-6382
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	32
Issue	18
Article Number	185005
DOI	https://doi.org/10.1088/0264-9381/32/18/185005
Keywords	Lifshitz, Higher-spin, Holography.

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Copyright Statement
This is an author-created, un-copyedited version of an article published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0264-9381/32/18/185005