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Tensor Galileons and gravity

Chatzistavrakidis, Athanasios; Khoo, Fech Scen; Roest, Diederik; Schupp, Peter (2017) Tensor Galileons and gravity. The Journal of high energy physics, 2017 (3). ISSN 1126-6708

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The particular structure of Galileon interactions allows for higher-derivative terms while retaining second order field equations for scalar fields and Abelian p -forms. In this work we introduce an index-free formulation of these interactions in terms of two sets of Grassmannian variables. We employ this to construct Galileon interactions for mixed-symmetry tensor fields and coupled systems thereof. We argue that these tensors are the natural generalization of scalars with Galileon symmetry, similar to p -forms and scalars with a shift-symmetry. The simplest case corresponds to linearised gravity with Lovelock invariants, relating the Galileon symmetry to diffeomorphisms. Finally, we examine the coupling of a mixed-symmetry tensor to gravity, and demonstrate in an explicit example that the inclusion of appropriate counterterms retains second order field equations.

Item Type: Article
Uncontrolled Keywords: Galileons, Gravity theories; Graded geometry
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
generalizirana geometrija i simetrije-GGSymmLarisa JonkeIP-2014-09-3258HRZZ
Depositing User: Sofija Konjević
Date Deposited: 13 Jul 2018 10:41
DOI: 10.1007/jhep03(2017)070

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