Abstract
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.
Highlights
Shift symmetries play a powerful role in diverse areas of physics: they provide a useful classification of low-energy effective theories and appear generically in any theory in which an internal or spacetime symmetry is spontaneously broken
In this paper we have identified special mass values at which massive bosonic fields of all spins in (A)de Sitter (dS) space develop shift symmetries that are the analogues of flat space polynomial shift symmetries
We have explained how these shift-symmetric fields are related to partially massless (PM) fields and we have constructed explicit examples of interacting scalar theories preserving the symmetries
Summary
Shift symmetries play a powerful role in diverse areas of physics: they provide a useful classification of low-energy effective theories and appear generically in any theory in which an internal or spacetime symmetry is spontaneously broken. In theories with spontaneously broken symmetries, masslessness of the Goldstone bosons is protected by symmetries that act like shift symmetries to leading order in powers of the fields The avatars of these symmetries in scattering amplitudes are enhanced soft limits, the prototypical example of which is the Adler zero [1, 2]. S-matrix, as theories with enhanced soft limits [13, 14, 19].2 In this case, there are again interesting non-abelian deformations of the symmetries involving field-dependent terms, but here the deformation can be achieved with a single scalar field. There are again interesting non-abelian deformations of the symmetries involving field-dependent terms, but here the deformation can be achieved with a single scalar field There is a unique theory with second-order equations of motion that is invariant under the following deformed, non-abelian version of the symmetry: δφ
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
