Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2019)032
Keywords
Conformal Field Theory; Integrable Field Theories; Nonperturbative Effects; Quantum Groups
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Funding
- European Research Council (Programme Ideas) [ERC-2012-AdG 320769 AdS-CFT-solvable]
- Russian Science Foundation [14-11-00598]
- German Science Foundation (DFG) [676]
- Research Training Group 1670
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We compute explicitly the two-dimensional version of Basso-Dixon type integrals for the planar 4-point correlation functions given by conformal fishnet Feynman graphs. These diagrams are represented by a fragment of a regular square lattice of power-like propagators, arising in the recently proposed integrable bi-scalar fishnet CFT. The formula is derived from first principles, using the formalism of separated variables in integrable SL(2, C) spin chain. It is generalized to anisotropic fishnet, with different powers for propagators in two directions of the lattice.
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