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arXiv · 1709.00850

Induced Action for Conformal Higher Spins from Worldline Path Integrals

Roberto Bonezzi
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Abstract

Conformal higher spin (CHS) fields, despite being non unitary, provide a remarkable example of a consistent interacting higher spin theory in flat space background, that is local to all orders. The non-linear action is defined as the logarithmically UV divergent part of a one-loop scalar effective action. In this paper we take a particle model, that describes the interaction of a scalar particle to the CHS background, and compute its path integral on the circle. We thus provide a worldline representation for the CHS action, and rederive its quadratic part. We plan to come back to the subject, to compute cubic and higher vertices, in a future work.

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Roberto Bonezzi. 2017-11-29. Induced Action for Conformal Higher Spins from Worldline Path Integrals. https://arxiv.org/abs/1709.00850

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