Higher spins and matter interacting in dimension three

Pan Kessel, Gustavo Lucena Gómez, Evgeny Skvortsov, Massimo Taronna
2015 Journal of High Energy Physics  
The spectrum of Prokushkin--Vasiliev Theory is puzzling in light of the Gaberdiel--Gopakumar conjecture because it generically contains an additional sector besides higher-spin gauge and scalar fields. We find the unique truncation of the theory avoiding this problem to order 2 in perturbations around AdS_3. The second-order backreaction on the physical gauge sector induced by the scalars is computed explicitly. The cubic action for the physical fields is determined completely. We comment on a
more » ... ifferent higher-spin theory without such additional fields at λ=1.
doi:10.1007/jhep11(2015)104 fatcat:l45d4hmx5jh3bd4a4nyuppovhi