New Conformal Higher Spin Gravities in $3d$
High Energy Physics - Theory
2020-01-29 v2
Abstract
We propose a new class of conformal higher spin gravities in three dimensions, which extends the one by Pope and Townsend. The main new feature is that there are infinitely many examples of the new theories with a finite number of higher spin fields, much as in the massless case. The action has the Chern-Simons form for a higher spin extension of the conformal algebra. In general, the new theories contain Fradkin-Tseytlin fields with higher derivatives in the gauge transformations, which is reminiscent of partially-massless fields. A relation of the old and new theories to the parity anomaly is pointed out.
Cite
@article{arxiv.1909.13305,
title = {New Conformal Higher Spin Gravities in $3d$},
author = {Maxim Grigoriev and Iva Lovrekovic and Evgeny Skvortsov},
journal= {arXiv preprint arXiv:1909.13305},
year = {2020}
}
Comments
20 pages+refs; replaced with the journal version