NEW CONFORMAL HIGHER SPIN GRAVITIES IN 3D

New conformal higher spin gravities in 3d

New conformal higher spin gravities in 3d

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Abstract We propose a new class of conformal higher spin gravities in three dimensions, which extends acupatch 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 read more 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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