Shift symmetries in (anti) de Sitter space

A bstract We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in flat space to all symmetric tensor fields in (A)d...

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Bibliographic Details
Published in:The journal of high energy physics 2019-02, Vol.2019 (2), p.1-50, Article 178
Main Authors: Bonifacio, James, Hinterbichler, Kurt, Joyce, Austin, Rosen, Rachel A.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Global Symmetries
High energy physics
Higher Spin Symmetry
Mathematical analysis
Particle spin
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
String Theory
Symmetry
Tensors
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Summary:A bstract We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in flat space to all symmetric tensor fields in (A)dS space. These symmetries are parametrized by generalized Killing tensors and exist for fields with particular discrete masses corresponding to the longitudinal modes of massive fields in partially massless limits. We construct interactions for scalars that preserve these shift symmetries, including an extension of the special galileon to (A)dS space, and discuss possible generalizations to interacting massive higher-spin particles.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2019)178