TY  - JOUR
AU  - Isachenkov, Mikhail
AU  - Schomerus, Volker
TI  - Superintegrability of d-Dimensional Conformal Blocks
JO  - Physical review letters
VL  - 117
IS  - 7
SN  - 1079-7114
CY  - College Park, Md.
PB  - APS
M1  - PUBDB-2016-03319
M1  - DESY-16-026
SP  - 071602
PY  - 2016
AB  - We observe that conformal blocks of scalar four-point functions in a d-dimensional conformal fieldtheory can be mapped to eigenfunctions of a two-particle hyperbolic Calogero-Sutherland Hamiltonian.The latter describes two coupled Pöschl-Teller particles. Their interaction, whose strength dependssmoothly on the dimension d, is known to be superintegrable. Our observation enables us to exploit the richmathematical literature on Calogero-Sutherland models in deriving various results for conformal fieldtheory. These include an explicit construction of conformal blocks in terms of Heckman-Opdamhypergeometric functions. We conclude with a short outlook, in particular, on the consequences ofintegrability for the theory of conformal blocks.
LB  - PUB:(DE-HGF)29 ; PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000381477500001
C6  - pmid:27563949
DO  - DOI:10.1103/PhysRevLett.117.071602
UR  - https://bib-pubdb1.desy.de/record/307644
ER  -