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

Lei, Yang and Ross, Simon F. (2015) 'Connection versus metric description for non-AdS solutions in higher-spin theories.', Classical and quantum gravity., 32 (18). p. 185005.


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.

Item Type:Article
Keywords:Lifshitz, Higher-spin, Holography.
Full text:(AM) Accepted Manuscript
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Publisher 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
Date accepted:27 July 2015
Date deposited:29 September 2015
Date of first online publication:September 2015
Date first made open access:26 August 2016

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