Geodesic Witten diagrams with antisymmetric tensor exchange

2017/07/25 by Kotaro Tamaoka
Mathematics · Physics and Astronomy · #Antisymmetric relation #Antisymmetric tensor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge theory #Geodesic #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Tensor (intrinsic definition) #hep-th

paper · pdf · doi:10.1103/physrevd.96.086007

published as Phys. Rev. D 96, 086007 (2017) · 17 pages, 2 figures

arxiv created 2017/07/25 · openalex created_date 2017/07/31 · openalex publication_date 2017/10/11 · arxiv updated 2017/10/18 · openalex updated_date 2026/08/05

Abstract

We show the AdS/CFT correspondence between the conformal partial wave and the geodesic Witten diagram with antisymmetric exchange. To this end, we introduce the embedding space formalism for antisymmetric fields in anti-de Sitter. Then, we prove that the geodesic Witten diagram satisfies the conformal Casimir equation and the appropriate boundary condition. Furthermore, we discuss the connection between the geodesic Witten diagram and the shadow formalism by using the split representation of the harmonic function for antisymmetric fields. We also discuss the three-point geodesic Witten diagrams and its extension to the mixed-symmetric tensors.

Citations

• Conformal partial waves and the operator product expansion
• Spinning AdS propagators
• The group approach to AdS space propagators
• Infinite conformal symmetry in two-dimensional quantum field theory
• Mixed-symmetry tensor conserved currents and AdS/CFT correspondence
• Higher Spin Superalgebras in any Dimension and their Representations
• Bounding scalar operator dimensions in 4D CFT
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Spinning Witten diagrams
• The large N limit of superconformal field theories and supergravity