2024/03/12 by Robert de Mello Koch, Koch, Robert de Mello, Garreth Kemp +3
Mathematics · Medicine · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pediatric Hepatobiliary Diseases and Treatments
paper · pdf · doi:10.48550/arxiv.2403.07606
openalex publication_date 2024/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time coordinates. The change of field variables ensures that the loop expansion parameter becomes 1\over N. The change of coordinates solves the Clebsch-Gordan problem of moving from the tensor product basis (in which the collective bilocal field is written) to the direct sum basis (appropriate for the description of the gravity fields). We argue that the change of space time coordinates can be deduced by requiring that operators constructed in the bilocal collective field theory are dual to local operators in the AdS bulk.