2014/02/28 by William A. Bardeen, Moshe Moshe · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Chern–Simons theory #Cosmology and Gravitation Theories #Effective action #Gauge group #Gauge theory #Geometry #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scale invariance #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep06(2014)113
23 pages, 8 figures. several lines changed in the introduction. typos corrected
openalex publication_date 2014/06/01 · arxiv created 2014/06/14 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study spontaneous breaking of scale invariance in the large N limit of three dimensional U(N ) κ Chern-Simons theories coupled to a scalar field in the fundamental representation. When a λ6(ϕ † · ϕ)3 self interaction term is added to the action we find a massive phase at a certain critical value for a combination of the λ6 and ’t Hooft’s λ = N/κ couplings. This model attracted recent attention since at finite κ it contains a singlet sector which is conjectured to be dual to Vasiliev’s higher spin gravity on AdS 4. Our paper concentrates on the massive phase of the 3d boundary theory. We discuss the advantage of introducing masses in the boundary theory through spontaneous breaking of scale invariance.