2017•arXiv (Cornell University)Open access

Non-local conformal symmetry in Fronsdal theory

Henrique Flores

Abstract

We write a first order action for higher-spin fields and construct a canonical map to Fronsdal theory. The first-order description is defined over complex field configurations and has conformal invariance. We show that it is possible to push forward these transformations to a set of symmetries in Fronsdal theory that satisfies the conformal algebra but is not given by standard conformal change of coordinates.

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Key concepts: Conformal symmetry, Conformal field theory, Primary field, Conformal map, Conformal anomaly, Homogeneous space, Symmetry (geometry), Action (physics)