☆ 4.4 Article

Harmony of spinning conformal blocks

JOURNAL OF HIGH ENERGY PHYSICS (2017)

期刊

JOURNAL OF HIGH ENERGY PHYSICS

卷 -, 期 3, 页码 -

出版社

SPRINGER

DOI: 10.1007/JHEP03(2017)085

关键词

Conformal and W Symmetry; Conformal Field Theory; Field Theories in Higher Dimensions; Differential and Algebraic Geometry

类别

Physics, Particles & Fields

资金

Israel Science Foundation [1937/12]
Federal German Ministry for Education and Research
Henri Gutwirth Rind for the Promotion of Research
ISF within the ISF-UGC joint research program framework [1200/14]
ERG SIG [335182]

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Protocol

Reagent

摘要

Conformal blocks for correlation functions of tensor operators play an increasingly important role for the conformal bootstrap programme. We develop a universal approach to such spinning blocks through the harmonic analysis of certain bundles over a coset of the conformal group. The resulting Casimir equations are given by a matrix version of the Calogero-Sutherland Hamiltonian that describes the scattering of interacting spinning particles in a 1-dimensional external potential. The approach is illustrated in several examples including fermionic seed blocks in 3D CFT where they take a very simple form.

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