Integrability of conformal blocks. Part I. Calogero-Sutherland scattering theory

Isachenkov, Mikhail; Schomerus, Volker

doi:10.1007/JHEP07(2018)180

Report/Journal Article

PUBDB-2018-03900

Integrability of conformal blocks. Part I. Calogero-Sutherland scattering theory

Isachenkov, M. (Corresponding author)DESY* ; Schomerus, V.DESY*

2018
Springer Nature Cham

Journal of high energy physics 1807(07), 180 (2018) [10.1007/JHEP07(2018)180]

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Please use a persistent id in citations: doi:10.1007/JHEP07(2018)180 doi:10.3204/PUBDB-2018-03900

Report No.: DESY-17-178; WIS-05-17-Nov-DPPA; arXiv:1711.06609

Abstract: Conformal blocks are the central ingredient of the conformal bootstrap programme. We elaborate on our recent observation that uncovered a relation with wave functions of an integrable Calogero-Sutherland Hamiltonian in order to develop a systematic theory of conformal blocks. Our main goal here is to review central ingredients of the Heckman-Opdam theory for scattering states of Calogero-Sutherland models with special emphasis to the relation with scalar 4-point blocks. We will also discuss a number of direct consequences for conformal blocks, including a new series expansion for blocks of arbitrary complex spin and a complete analysis of their poles and residues. Applications to the Froissart-Gribov formula for conformal field theory, as well as extensions to spinning blocks and defects are briefly discussed before we conclude with an outlook on forthcoming work concerning algebraic consequences of integrability.

Classification:

ddc:530

Contributing Institute(s):

Theorie-Gruppe (T)

Research Program(s):

611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

No specific instrument

Appears in the scientific report 2018

Database coverage:
Creative Commons Attribution CC BY 4.0

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