2017/02/03 by Julián Barragán Amado, Amado, Julián Barragán, Bruno Carneiro da Cunha +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #FOS: Physical sciences #Field (mathematics) #General Relativity and Quantum Cosmology (gr-qc) #Geometry #Graph #High Energy Physics - Theory (hep-th) #Mathematical analysis #Mathematical physics #Mathematics #Null (SQL) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Scalar field #Vertex (graph theory) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1702.01016
JHEP3 style, 34 pages, 2 figures; Minor changes in the text and a corrected near-extremal radial monodromy calculation. Version accepted to JHEP
openalex publication_date 2017/02/03 · arxiv created 2017/08/08 · arxiv updated 2017/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the relation between four-dimensional global conformal blocks and field propagation in \rm AdS5. Following the standard argument that marginal perturbations should backreact in the geometry, we turn to the study of scalar fields in the generic Kerr-\rm AdS5 geometry. On one hand, the result for scattering coefficients can be obtained exactly using the isomonodromy technique, giving exact expressions in terms of c=1 chiral conformal blocks. On the other hand, one can use the analogy between the scalar field equations to the Level 2 null field Ward identity in two dimensional Liouville field theory to write approximate expressions for the same coefficients in terms of semi-classical chiral Liouville conformal blocks. Surprisingly, the conformal block thus constructed has a well-behaved interpretation in terms of Liouville vertex operators.