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Canonical bifurcation in higher derivative, higher spin, theories

Deser, S. and Ertl, S. and Grumiller, D. (2013) Canonical bifurcation in higher derivative, higher spin, theories. Journal of Physics A: Mathematical and Theoretical, 46 (21). Art. No. 214018. ISSN 1751-8113. http://resolver.caltech.edu/CaltechAUTHORS:20130621-103418867

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Abstract

We present a non-perturbative canonical analysis of the D = 3 quadratic-curvature, yet ghost-free, model to exemplify a novel, 'constraint bifurcation', effect. Consequences include a jump in excitation count: a linearized level gauge variable is promoted to a dynamical one in the full theory. We illustrate these results with their concrete perturbative counterparts. They are of course mutually consistent, as are perturbative findings in related models. A geometrical interpretation in terms of propagating torsion reveals the model's relation to an (improved) version of Einstein–Weyl gravity at the linearized level. Finally, we list some necessary conditions for triggering the bifurcation phenomenon in general interacting gauge systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/1751-8113/46/21/214018DOIArticle
http://iopscience.iop.org/1751-8121/46/21/214018PublisherArticle
https://arxiv.org/abs/1208.0339arXivDiscussion Paper
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 2013 Institute of Physics Publishing Ltd. Received 23 August 2012. Published 14 May 2013. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’. We thank H Afshar, J Franklin, O Hohm, R Jackiw and P Townsend for useful discussions. DG thanks Caltech and KITP for hospitality during the KITP program ‘Bits, Branes, Black Holes’ while part of this work was begun. SD was supported in part by NSF PHY-1064302 and DOE DE-FG02-16492ER40701 grants. SE and DG are supported by the START project Y435-N16 of the Austrian Science Fund (FWF) and by the FWF project P21927-N16. This research was supported in part by the National Science Foundation under grant no. NSF PHY11-25915.
Group:Caltech Theory
Funders:
Funding AgencyGrant Number
NSFPHY-1064302
Department of Energy (DOE)DE-FG02-16492ER40701
FWF Der WissenschaftsfondsY435-N16
FWF Der WissenschaftsfondsP21927-N16
NSFPHY11-25915
Classification Code:PACS: 04.20.Fy, 04.50.Kd, 04.60.Kz, 11.10.Kd, 11.15.Ex, 02.30.Oz, 05.45.-a. MSC: 65P30, 81S30
Record Number:CaltechAUTHORS:20130621-103418867
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130621-103418867
Official Citation:Canonical bifurcation in higher derivative, higher spin, theories S Deser, S Ertl and D Grumiller doi:10.1088/1751-8113/46/21/214018
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39023
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:21 Jun 2013 17:55
Last Modified:15 Dec 2016 18:53

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