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Introduction to the theory of elliptic hypergeometric integrals - MaRDI portal

Introduction to the theory of elliptic hypergeometric integrals (Q827163)

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Language	Label	Description	Also known as
English	Introduction to the theory of elliptic hypergeometric integrals	scientific article

Statements

scholarly article

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Introduction to the theory of elliptic hypergeometric integrals (English)

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Vyacheslav P. Spiridonov

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publication date

7 January 2021

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full work available at URL

https://arxiv.org/abs/1912.12971

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MaRDI profile type

MaRDI publication profile

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Partition function of the eight-vertex lattice model

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

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Local mirror symmetry and the sunset Feynman integral

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A duality web of linear quivers

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Baxter operators with deformed symmetry

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

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Finite-dimensional representations of the elliptic modular double

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Complex Chern-Simons theory at level \(k\) via the 3d-3d correspondence

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Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories

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Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality

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The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\).

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The importance of the Selberg integral

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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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Quantum KZ equation with |<i>q</i>| = 1 and correlation functions of the<b><i>XXZ</i></b>model in the gapless regime

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<sub>10</sub><i>E</i><sub>9</sub>solution to the elliptic Painlev equation

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

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Elliptic hypergeometric sum/integral transformations and supersymmetric lens index

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An index for 4 dimensional super conformal theories

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A study of elliptic gamma function and allies

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An integral Representation of a <sub>10</sub><i>ϕ</i><sub>9</sub> and Continuous Bi-Orthogonal <sub>10</sub><i>ϕ</i><sub>9</sub> Rational Functions

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Transformations of elliptic hypergeometric integrals

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Limits of elliptic hypergeometric integrals

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An isomonodromy interpretation of the hypergeometric solution of the elliptic Painlevé equation (and generalizations)

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Multivariate quadratic transformations and the interpolation kernel

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Determinants of elliptic hypergeometric integrals

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The supersymmetric index in four dimensions

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Global properties of supersymmetric theories and the lens space

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Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories

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First order analytic difference equations and integrable quantum systems

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Rational surfaces associated with affine root systems and geometry of the Painlevé equations

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General modular quantum dilogarithm and beta integrals

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The endless beta integrals

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Electric-magnetic duality in supersymmetric non-abelian gauge theories

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Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras

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On the elliptic beta function

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Theta hypergeometric integrals

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A Bailey tree for integrals

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Short proofs of the elliptic beta integrals

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Elliptic hypergeometric functions and Calogero-Sutherland-type models

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Essays on the theory of elliptic hypergeometric functions

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Continuous biorthogonality of an elliptic hypergeometric function

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Elliptic beta integrals and solvable models of statistical mechanics

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Rarefied elliptic hypergeometric functions

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The rarefied elliptic Bailey lemma and the Yang–Baxter equation

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Elliptic hypergeometry of supersymmetric dualities

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Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

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Inversions of integral operators and elliptic beta integrals on root systems

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Spectral transformation chains and some new biorthogonal rational functions

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Properties of generalized univariate hypergeometric functions

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Integrability of difference Calogero–Moser systems

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An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums

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Unit circle elliptic beta integrals

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50 Years of Bailey's lemma

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Summation and transformation formulas for elliptic hypergeometric series.

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-42400-8_6

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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:827163

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