4.6 Article

Symmetric scalars

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1475-7516/2020/05/031

Keywords

dark energy theory; gravity; inflation; particle physics - cosmology connection

Funding

  1. Netherlands Organisation for Scientific Research (NWO) [680-47-535]
  2. Cambridge Trust

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We provide a complete classification of Poincare-invariant scalar field theories with an enlarged set of classical symmetries to leading order in derivatives, namely for the socalled P(X, phi) theories, in two or more spacetime dimensions. We find only three possibilities: Dirac-Born-Infeld, Cuscuton and Scaling theories. The latter two classes of actions involve an arbitrary function of the scalar field. As an application, we use the scaling symmetry to derive an infinite set of constraints on the Wilsonian coefficients of the low-energy Effective Field Theory. Furthermore, we study the extension of these results to cosmological (FLRW) and (Anti-)de Sitter spacetimes. We find in particular that the Cuscuton action has a generic set of symmetries around any background spacetime that possesses Killing vector fields, while the DBI actions have well-known analogues that we summarize explicitly.

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