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On complex gamma-function integrals (Q2297937)

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Language	Label	Description	Also known as
English	On complex gamma-function integrals	scientific article

Statements

scholarly article

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On complex gamma-function integrals (English)

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

20 February 2020

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full work available at URL

https://arxiv.org/abs/1908.01530

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zbMATH Keywords

Mellin-Barnes integrals

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star-triangle relation

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Sergey E. Derkachov

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Alexander N. Manashov

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MaRDI profile type

MaRDI publication profile

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Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories.

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Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs

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Exact solution of the Faddeev-Volkov model

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A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations

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INTEGRABILITY IN QCD AND BEYOND

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Quantum mechanics of null polygonal Wilson loops

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Separation of variables and scalar products at any rank

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Basso-Dixon correlators in two-dimensional fishnet CFT

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

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On the separation of variables for the modular XXZ magnet and the lattice sinh-Gordon models

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

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Spin chains and Gustafson’s integrals

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Gustafson integrals for $SL(2, \mathbb{C})$ spin magnet

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\(\mathrm{SL}(2,\mathbb{C})\) Gustafson integrals

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

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Multipoint correlation functions in Liouville field theory and minimal Liouville gravity

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The importance of the Selberg integral

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Hypergeometric functions over an arbitrary field

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New compact construction of eigenstates for supersymmetric spin chains

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New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains

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Some <i>q</i>-Beta and Mellin–Barnes Integrals with Many Parameters Associated to the Classical Groups

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Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras

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Some <i>q</i>-Beta Integrals on $SU(n)$ and $Sp(n)$ That Generalize the Askey–Wilson and Nasrallah–Rahman Integrals

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On Racah operators

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Racah operators for principal series of representations of the group $ \mathrm {SL}(2,\mathbb C)$

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A new solution of the star–triangle relation

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New solutions of the star–triangle relation with discrete and continuous spin variables

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The open XXX spin chain in the SoV framework: scalar product of separate states

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The open XXZ spin chain in the SoV framework: scalar product of separate states

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Unitarity of the SoV transform for the Toda chain

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Yang-Baxter equation and representation theory. I

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On quantum separation of variables

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A q-analog of the Gauss summation theorem for hypergeometric series in U(n)

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A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions

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A pair of commuting hypergeometric operators on the complex plane and bispectrality

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An analog of the Dougall formula and of the de Branges-Wilson integral

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Barnes-Ismagilov integrals and hypergeometric functions of the complex field

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\(3d\) dualities from \(2d\) free field correlators: recombination and rank stabilization

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Determinants of elliptic hypergeometric integrals

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Elliptic hypergeometric series on root systems.

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Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame

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Quantum inverse problem method. I

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Boundary conditions for integrable quantum systems

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The endless beta integrals

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On the elliptic beta function

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Theta hypergeometric integrals

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Short proofs of the elliptic beta integrals

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Elliptic beta integrals and solvable models of statistical mechanics

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Elliptic hypergeometry of supersymmetric dualities

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Inversions of integral operators and elliptic beta integrals on root systems

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On $BC$ type basic hypergeometric orthogonal polynomials

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2020.003

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2297937

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