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Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles

The journal of high energy physics, 2023-06, Vol.2023 (6), p.59-64, Article 59

2023

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Spin chains and Gustafson's integrals

Journal of physics. A, Mathematical and theoretical, 2017-07, Vol.50 (29), p.294006

2017

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Conformal triangles and zig-zag diagrams

Physics letters. B, 2022-07, Vol.830, p.137150, Article 137150

2022

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Gustafson integrals for SL(2,C) spin magnet

Journal of physics. A, Mathematical and theoretical, 2017-07, Vol.50 (29), p.294007

2017

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Conformal algebra: R-matrix and star-triangle relation

The journal of high energy physics, 2013-04, Vol.2013 (4), p.1-50, Article 20

2013

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Iterative construction of eigenfunctions of the monodromy matrix for $SL(2,\mathbb {C})$ magnet

Journal of physics. A, Mathematical and theoretical, 2014-08, Vol.47 (30), p.305204-25

2014

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Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions

Annales Henri Poincaré, 2024-07, Vol.25 (7), p.3259-3296

2024

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Baxter Operators in Ruijsenaars Hyperbolic System I: Commutativity of Q-Operators

Annales Henri Poincaré, 2024-07, Vol.25 (7), p.3207-3258

2024

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Regular Representation of the Group GL(N, ℝ): Factorization, Casimir Operators and Toda Chain

Journal of mathematical sciences (New York, N.Y.), 2022-06, Vol.264 (3), p.215-231

2022

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Baxter Operators in Ruijsenaars Hyperbolic System III: Orthogonality and Completeness of Wave Functions

Annales Henri Poincaré, 2024, Vol.25 (7), p.3297-3332

2024

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Completeness of the 3j-Symbols for the Group SL(2, ℂ)

Journal of mathematical sciences (New York, N.Y.), 2021-09, Vol.257 (4), p.450-458

2021

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The spinorial R-matrix

Journal of physics. A, Mathematical and theoretical, 2013-12, Vol.46 (48), p.485201-21

2013

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The Q-Operator for the Quantum NLS Model

Journal of mathematical sciences (New York, N.Y.), 2019-11, Vol.242 (5), p.608-627

2019

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The 6j-Symbols for the SL(2, ℂ) Group

Theoretical and mathematical physics, 2019, Vol.198 (1), p.29-47

2019

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Elliptic hypergeometric function and -symbols for the group

Theoretical and mathematical physics, 2022, Vol.213 (1), p.1406-1422

2022

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The R-operator for a modular double

Journal of physics. A, Mathematical and theoretical, 2014-03, Vol.47 (11), p.115203-14

2014

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Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator

Journal of mathematical sciences (New York, N.Y.), 2019-11, Vol.242 (5), p.658-682

2019

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Dual conformal symmetry on the light cone

Nuclear physics. B, 2014-09, Vol.886 (C), p.1102-1127

2014

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Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an SL(n,ℂ)-invariant spin chain

Theoretical and mathematical physics, 2016-11, Vol.189 (2), p.1529-1553

2016

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SOS-Representation for the SL(2,ℂ)-Invariant R-Operator and Feynman Diagrams

Journal of mathematical sciences (New York, N.Y.), 2019-05, Vol.238 (6), p.819-833

2019

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Yang-Baxter equation, parameter permutations, and the elliptic beta integral

Russian mathematical surveys, 2013-01, Vol.68 (6), p.1027-1072

2013

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Matrix Factorization for Solutions of the Yang–Baxter Equation

Journal of mathematical sciences (New York, N.Y.), 2016-03, Vol.213 (5), p.723-742

2016

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Orthogonal Polynomials, 6J-Symbols, and Statistical Weights of SOS Models

Journal of mathematical sciences (New York, N.Y.), 2019-05, Vol.238 (6), p.834-853

2019

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Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and separation of variables

Nuclear physics. B, 2001-12, Vol.617 (1), p.375-440

2001

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Yang–Baxter operators and scattering amplitudes in N=4 super-Yang–Mills theory

Nuclear physics. B, 2014-04, Vol.881, p.467-501

2014

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Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles

Spin chains and Gustafson's integrals

Conformal triangles and zig-zag diagrams

Gustafson integrals for SL(2,C) spin magnet

Conformal algebra: R-matrix and star-triangle relation

Iterative construction of eigenfunctions of the monodromy matrix for $SL(2,\mathbb {C})$ magnet

Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions

Baxter Operators in Ruijsenaars Hyperbolic System I: Commutativity of Q-Operators

Regular Representation of the Group GL(N, ℝ): Factorization, Casimir Operators and Toda Chain

Baxter Operators in Ruijsenaars Hyperbolic System III: Orthogonality and Completeness of Wave Functions

Completeness of the 3j-Symbols for the Group SL(2, ℂ)

The spinorial R-matrix

The Q-Operator for the Quantum NLS Model

The 6j-Symbols for the SL(2, ℂ) Group

Elliptic hypergeometric function and -symbols for the group

The R-operator for a modular double

Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator

Dual conformal symmetry on the light cone

Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an SL(n,ℂ)-invariant spin chain

SOS-Representation for the SL(2,ℂ)-Invariant R-Operator and Feynman Diagrams

Yang-Baxter equation, parameter permutations, and the elliptic beta integral

Matrix Factorization for Solutions of the Yang–Baxter Equation

Orthogonal Polynomials, 6J-Symbols, and Statistical Weights of SOS Models

Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and separation of variables

Yang–Baxter operators and scattering amplitudes in N=4 super-Yang–Mills theory

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