Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2017)085
Keywords
Conformal and W Symmetry; Conformal Field Theory; Field Theories in Higher Dimensions; Differential and Algebraic Geometry
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Funding
- 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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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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