Corpus ID: 236469571

Hexagonalization of Fishnet integrals I: mirror excitations

@inproceedings{Olivucci2021HexagonalizationOF,
  title={Hexagonalization of Fishnet integrals I: mirror excitations},
  author={Enrico Olivucci},
  year={2021}
}
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 `k 2 , ̇̀ 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… Expand
1 Citations
Mirror channel eigenvectors of the $d$-dimensional fishnets
We present a basis of eigenvectors for the graph building operators acting along the mirror channel of planar fishnet Feynman integrals in d-dimensions. The eigenvectors of a fishnet lattice ofExpand

References

SHOWING 1-10 OF 65 REFERENCES
Integrability of conformal fishnet theory
A bstractWe study integrability of fishnet-type Feynman graphs arising in planar four-dimensional bi-scalar chiral theory recently proposed in arXiv:1512.06704 as a special double scaling limit ofExpand
Biscalar Integrable Conformal Field Theories in Any Dimension.
We propose a D-dimensional generalization of 4D biscalar conformal quantum field theory recently introduced by Gürdogan and one of the authors as a particular strong-twist limit of γ-deformed N=4Expand
Hexagonalization of correlation functions
A bstractWe propose a nonperturbative framework to study general correlation functions of single-trace operators in N$$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory at large N . The basicExpand
Exactly solvable single-trace four point correlators in χCFT4
In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory (χCFT4) arising as a double scaling limit of the γ-deformed $$ \mathcal{N} $$ =Expand
Hexagons and correlators in the fishnet theory
Abstract We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from $$ \mathcal{N} $$ N = 4 SYM by a deformation that preserves bothExpand
Yangian symmetry for bi-scalar loop amplitudes
A bstractWe establish an all-loop conformal Yangian symmetry for the full set of planar amplitudes in the recently proposed integrable bi-scalar field theory in four dimensions. This chiral theory isExpand
Impurity-induced critical behaviour in antiferromagnetic Heisenberg chains
The authors consider an integrable SU(2)-invariant model consisting of the Heisenberg chain of arbitrary spin S (Takhtajan-Babujian model) interacting with an impurity of spin S'. The impurity isExpand
Hexagonalization of correlation functions II: two-particle contributions
A bstractIn this work, we compute one-loop planar five-point functions in N=4$$ \mathcal{N}=4 $$ super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functionsExpand
Determinant form of correlators in high rank integrable spin chains via separation of variables
In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl(N) symmetry. By finding, for the first time, the matrix elements of theExpand
Separation of variables and scalar products at any rank
Abstract Separation of variables (SoV) is a special property of integrable models which ensures that the wavefunction has a very simple factorised form in a specially designed basis. Even thoughExpand
...
1
2
3
4
5
...