期刊
PHYSICAL REVIEW LETTERS
卷 117, 期 7, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.117.071602
关键词
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资金
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme FP7 under REA Grant [317089]
- Israel Science Foundation Center for Excellence Grant
- I-CORE Program of the Planning and Budgeting Committee
- Israel Science Foundation [1937/12]
- Minerva Foundation
- Federal German Ministry for Education and Research
- Henri Gutwirth Grant from the Henri Gutwirth Fund for the Promotion of Research
- ISF within the ISF-UGC joint research program [1200/14]
- ERC STG Grant [335182]
We observe that conformal blocks of scalar four-point functions in a d-dimensional conformal field theory can be mapped to eigenfunctions of a two-particle hyperbolic Calogero-Sutherland Hamiltonian. The latter describes two coupled Poschl-Teller particles. Their interaction, whose strength depends smoothly on the dimension d, is known to be superintegrable. Our observation enables us to exploit the rich mathematical literature on Calogero-Sutherland models in deriving various results for conformal field theory. These include an explicit construction of conformal blocks in terms of Heckman-Opdam hypergeometric functions. We conclude with a short outlook, in particular, on the consequences of integrability for the theory of conformal blocks.
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