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New Conformal Higher Spin Gravities in $3d$

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arxiv 1909.13305 v2 pith:HON5UZU2 submitted 2019-09-29 hep-th

Maxim Grigoriev , Iva Lovrekovic , Evgeny Skvortsov This is my paper · ORCID
classification hep-th
keywords higherspinconformalfieldstheoriesgravitiesactionalgebra
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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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Light-Front approach to $4d$ massless Higher-Spin interactions

    hep-th 2026-07 conditional novelty 7.5 of 10

    Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...

  2. Massless spinning fields on the Light-Front: quartic vertices and amplitudes

    hep-th 2026-02 conditional novelty 7.0 of 10

    A light-front quartic-constraint analysis classifies local massless higher-spin vertices and amplitudes, yielding no-go results for unitary theories and new quasi-chiral higher-spin sectors.

  3. Enhanced Conformal $BMS_3$ Symmetries

    hep-th 2024-12 conditional novelty 7.0 of 10

    A boundary-condition analysis of extended conformal gravity in 3D yields a new nonlinear W(2,2,2,2,1,1,1) asymptotic symmetry algebra whose central charges are fixed by the Virasoro central charge.

  4. Higher-spins on Taub-NUT and higher-spin Taub-NUT

    hep-th 2025-08 conditional novelty 6.0 of 10

    Higher-spin fields are solved exactly on the Taub-NUT instanton in the self-dual Yang-Mills truncation, and an order-by-order convergent higher-spin Taub-NUT solution is constructed in self-dual gravity, organized by ...

  5. Scalar Field on a higher-spin Background via Fedosov quantization

    hep-th 2024-12 conditional novelty 6.0 of 10

    A Fedosov-quantized Wigner function and the Feigin-Felder-Shoikhet trace yield a manifestly covariant action for scalar matter coupled to conformal higher-spin backgrounds.

  6. A note on one-parameter subgroups of SO(3,2)

    hep-th 2025-12 conditional novelty 5.0 of 10

    SO(3,2) one-parameter subgroups contain two new types, Id and V, with explicit coordinate transformations yielding new conformal gravity metrics.

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