New conformal higher spin gravities in 3d
Maxim Grigoriev, Iva Lovrekovic, Evgeny Skvortsov
Abstract
A bstract 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.
Topics & Concepts
PhysicsConformal anomalyMassless particleConformal mapParity (physics)Spin (aerodynamics)Gauge theoryTheoretical physicsConformal field theoryMathematical physicsAnomaly (physics)Conformal symmetryAction (physics)Gauge (firearms)Class (philosophy)Conformal gravityPrimary fieldCentral chargeEffective actionWeyl transformationQuantum electrodynamicsSupersymmetryQuantum mechanicsField (mathematics)Type (biology)Supersymmetric gauge theoryGravitationBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsNoncommutative and Quantum Gravity Theories