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Systematics of Higher-spin Light-front Interactions
University of Borås, School of Engineering.
2012 (English)In: arXivArticle in journal (Other academic)
Abstract [en]

The original cubic interaction terms for higher spin gauge fields in four dimensions and their reformulation using Fock space vertex operators is reviewed. As a new result, the complete list of all cubic vertex functions in D=4 is derived. It is observed, contrary to what would have been expected, that the non-linear dynamical Poincar\'e transformations do not restrict the cubic interactions beyond what is required by kinematics. The role of the SU(1,1) algebra of tracelessness constraints is clarified. It is shown that higher spin fields couple non-minimally to gravity at the cubic level in D=4 light-front dynamics. Based on a detailed analysis of the structure of the light-front Poincar\'e algebra, the formalism is then generalized to all orders in the interaction. The interacting theory, being a deformation of the free theory, takes the form of a strongly homotopy Lie algebra. It is conjectured that the ensuing recursive equations, if they can be explicitly solved, will encode all interaction data into a denumerable set of functions of p+, the overall transverse momentum structure being fixed already at the kinematical level.

Place, publisher, year, edition, pages
2012.
Keyword [en]
Higher spin field theory, Higher spin gravity, Light-front field theory, IH Grundutbildningsanknyten forskning/Research related to first cycle programmes
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hb:diva-1445Local ID: 2320/11802OAI: oai:DiVA.org:hb-1445DiVA: diva2:869502
Note
Extended version of contribution to the XVII European Workshop on String Theory, Padua, 5-9 September 2011Available from: 2015-11-13 Created: 2015-11-13

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http://arxiv.org/pdf/1205.6117.pdf

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