Constructing the bulk at the critical point of three-dimensional large vector theories
arXiv:2201.10214 · doi:10.1016/j.physletb.2022.137056
Abstract
In the context of the correspondence between higher spin fields and vector theories, we use the constructive bilocal fields based approach to this correspondence, to demonstrate, at the critical point of the interacting vector theory and directly in the bulk, the removal of the () state from the higher spins field spectrum, and to exhibit simple Klein-Gordon higher spin Hamiltonians. The bulk variables and higher spin fields are obtained in a simple manner from boundary bilocals, by the change of variables previously derived for the critical point (in momentum space), together with a field redefinition.
Derivation of the Δ=2 Hamiltonian added to Section 3.3; 19 pages including references