1999/04/26 by R. C. Rashkov, R. C. RASHKOV · 21 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Field (mathematics) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Massless particle #Point (geometry) #Term (time) #hep-th
paper · pdf · doi:10.1142/s0217732399001887
published in Modern Physics Letters A 14(26), 1783-1796 (World Scientific) · 12 pages, one more refernce added, some typos corrected
arxiv created 1999/04/26 · openalex publication_date 1999/08/30 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this letter the boundary problem for massless and massive Rarita–Schwinger fields in the AdS/CFT correspondence is considered. The considerations are along the lines of a paper by Henneaux 24 and are based on the requirement that the solutions have to be a stationary point for the action functional. It is shown that this requirement, along with a definite asymptotic behavior of the solutions, fixes the boundary term that must be added to the initial Rarita–Schwinger action. It is also shown that the boundary term reproduce the known two-point correlation functions of certain local operators in CFT living on the boundary.