Abstract
We consider linearised Vasiliev's equations around the background AdS field in three dimensions for the scalar-scalar-higher spin field correlation function. Relating this with the higher spin field determined in the metric formulation allows determination of the corresponding coupling coefficient. The result agrees with the analogous computation for the spin three field.
Highlights
Higher spin (HS) theories have started receiving more attention in the recent years due to a fact that they offer an answer to some important questions in string theory
Writing consistent interaction for fields of arbitrary spin and mass turned out to be difficult, one usually starts by looking at the massless fields
In three dimensions it is possible to truncate to a finite number and one obtains the Chern-Simons action which describes a coupling of massles HS fields and AdS gravity in consistent manner
Summary
The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom (Received 20 September 2018; published 25 February 2019). We consider linearized Vasilievâs equations around the background AdS field in three dimensions for the correlation function of two scalars and a higher spin field. Relating this with the higher spin field determined in the metric formulation allows determination of the corresponding coupling coefficient. The result agrees with the analogous computation for the spin three field
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