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Harmony of spinning conformal blocks
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 3
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, 085Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2017. no 3, 085
Keyword [en]
Conformal and W Symmetry, Conformal Field Theory, Field Theories in Higher Dimensions, Differential and Algebraic Geometry
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-142662DOI: 10.1007/JHEP03(2017)085ISI: 000397704900007OAI: oai:DiVA.org:su-142662DiVA: diva2:1094815
Available from: 2017-05-11 Created: 2017-05-11 Last updated: 2017-05-11Bibliographically approved

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Sobko, Evgeny
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