Hexagonalization of Fishnet integrals. Part I. Mirror excitations
Abstract In this paper we consider a conformal invariant chain of L sites in the unitary irreducible representations of the group SO(1, 5). The k-th site of the chain is defined by a scaling dimension ∆ k and spin numbers ℓ k 2 , ℓ k 2 $$ \frac{\ell_k}{2},\frac{\ell_k}{2} $$ The model with open and...
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2021
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oai:doaj.org-article:30ac0bd07a4f459fa5860cc9f0299aa02021-12-05T12:25:10ZHexagonalization of Fishnet integrals. Part I. Mirror excitations10.1007/JHEP11(2021)2041029-8479https://doaj.org/article/30ac0bd07a4f459fa5860cc9f0299aa02021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)204https://doaj.org/toc/1029-8479Abstract In this paper we consider a conformal invariant chain of L sites in the unitary irreducible representations of the group SO(1, 5). The k-th site of the chain is defined by a scaling dimension ∆ k and spin numbers ℓ k 2 , ℓ k 2 $$ \frac{\ell_k}{2},\frac{\ell_k}{2} $$ The model with open and fixed boundaries is shown to be integrable at the quantum level and its spectrum and eigenfunctions are obtained by separation of variables. The transfer matrices of the chain are graph-builder operators for the spinning and inhomogeneous generalization of squared-lattice “fishnet” integrals on the disk. As such, their eigenfunctions are used to diagonalize the mirror channel of the Feynman diagrams of Fishnet conformal field theories. The separated variables are interpreted as momentum and bound-state index of the mirror excitations of the lattice: particles with SO(4) internal symmetry that scatter according to an integrable factorized S $$ \mathcal{S} $$ -matrix in (1 + 1) dimensionsEnrico OlivucciSpringerOpenarticle1/N ExpansionConformal Field TheoryLattice Integrable ModelsBethe AnsatzNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-60 (2021) |
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EN |
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1/N Expansion Conformal Field Theory Lattice Integrable Models Bethe Ansatz Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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1/N Expansion Conformal Field Theory Lattice Integrable Models Bethe Ansatz Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Enrico Olivucci Hexagonalization of Fishnet integrals. Part I. Mirror excitations |
| description |
Abstract In this paper we consider a conformal invariant chain of L sites in the unitary irreducible representations of the group SO(1, 5). The k-th site of the chain is defined by a scaling dimension ∆ k and spin numbers ℓ k 2 , ℓ k 2 $$ \frac{\ell_k}{2},\frac{\ell_k}{2} $$ The model with open and fixed boundaries is shown to be integrable at the quantum level and its spectrum and eigenfunctions are obtained by separation of variables. The transfer matrices of the chain are graph-builder operators for the spinning and inhomogeneous generalization of squared-lattice “fishnet” integrals on the disk. As such, their eigenfunctions are used to diagonalize the mirror channel of the Feynman diagrams of Fishnet conformal field theories. The separated variables are interpreted as momentum and bound-state index of the mirror excitations of the lattice: particles with SO(4) internal symmetry that scatter according to an integrable factorized S $$ \mathcal{S} $$ -matrix in (1 + 1) dimensions |
| format |
article |
| author |
Enrico Olivucci |
| author_facet |
Enrico Olivucci |
| author_sort |
Enrico Olivucci |
| title |
Hexagonalization of Fishnet integrals. Part I. Mirror excitations |
| title_short |
Hexagonalization of Fishnet integrals. Part I. Mirror excitations |
| title_full |
Hexagonalization of Fishnet integrals. Part I. Mirror excitations |
| title_fullStr |
Hexagonalization of Fishnet integrals. Part I. Mirror excitations |
| title_full_unstemmed |
Hexagonalization of Fishnet integrals. Part I. Mirror excitations |
| title_sort |
hexagonalization of fishnet integrals. part i. mirror excitations |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/30ac0bd07a4f459fa5860cc9f0299aa0 |
| work_keys_str_mv |
AT enricoolivucci hexagonalizationoffishnetintegralspartimirrorexcitations |
| _version_ |
1718371950440480768 |