On the conformal symmetry of exceptional scalar theories

Farnsworth, Kara; Hinterbichler, Kurt; Hulík, Ondřej

doi:10.1007/jhep07(2021)198

On the conformal symmetry of exceptional scalar theories

Journal Article · Mon Jul 26 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep07(2021)198· OSTI ID:1852886

Farnsworth, Kara ^[1]; Hinterbichler, Kurt ^[2]; Hulík, Ondřej ^[3]

Case Western Reserve Univ., Cleveland, OH (United States). Center for Education and Research in Cosmology and Astrophysics (CERCA) and Physics Dept.; Case Western Reserve Univ., Cleveland, OH (United States)
Case Western Reserve Univ., Cleveland, OH (United States). Center for Education and Research in Cosmology and Astrophysics (CERCA) and Physics Dept.
Case Western Reserve Univ., Cleveland, OH (United States). Center for Education and Research in Cosmology and Astrophysics (CERCA) and Physics Dept.; Czech Academy of Sciences, Prague (Czech Republic). Inst. of Physics, CEICO

The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find the Lagrangian form of this symmetry. The special conformal transformations are non-linearly realized on the fields, even though conformal symmetry is unbroken. Commuting the conformal transformations with the extended shift symmetries, we find new symmetries, which when taken together with the conformal and shift symmetries close into a larger algebra. For DBI this larger algebra is the conformal algebra of the higher dimensional bulk in the brane embedding view of DBI. For the special galileon it is a real form of the special linear algebra. We also find the Weyl transformations corresponding to the conformal symmetries, as well as the necessary improvement terms to make the theories Weyl invariant, to second order in the coupling in the DBI case and to lowest order in the coupling in the special galileon case.

View Accepted Manuscript (DOE)

Research Organization:: Case Western Reserve Univ., Cleveland, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Simons Foundation; Czech Science Foundation (GACR)

Grant/Contract Number:: SC0019143

OSTI ID:: 1852886

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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