Identification of bulk coupling constant in higher spin/ABJ correspondence

2015/06/30 by Masazumi Honda
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Constant (computer programming) #Coupling (piping) #Coupling constant #Duality (order theory) #Function (biology) #Quantum Chromodynamics and Particle Interactions #Spin (aerodynamics) #Tensor (intrinsic definition) #hep-th

paper · pdf · doi:10.1007/jhep08(2015)110

10 pages, v3: typos corrected

openalex publication_date 2015/08/01 · arxiv created 2015/08/03 · arxiv updated 2015/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the conjectured duality between the N=6 Vasiliev higher spin theory on AdS4 and 3d N=6 superconformal Chern-Simons matter theory known as the ABJ theory. We discuss how the parameters in the ABJ theory should be related to the bulk coupling constant in the Vasiliev theory. For this purpose, we compute two-point function of stress tensor in the ABJ theory by using supersymmmetry localization. Our result justifies the proposal by [13] and determine the unknown coefficient in the previous work.

Citations

• Large N = 4 holography
• The Topological Open String Wavefunction
• Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Quantum phase transitions in mass-deformed ABJM matrix model
• The Large-N Limit of Superconformal Field Theories and Supergravity
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals