On complex gamma-function integrals
DOI10.3842/SIGMA.2020.003zbMath1436.81043arXiv1908.01530MaRDI QIDQ2297937
Sergey E. Derkachov, Alexander N. Manashov
Publication date: 20 February 2020
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01530
Other hypergeometric functions and integrals in several variables (33C70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (q)-gamma functions, (q)-beta functions and integrals (33D05) Statistical mechanics of magnetic materials (82D40)
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Cites Work
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- Elliptic hypergeometry of supersymmetric dualities
- Exact solution of the Faddeev-Volkov model
- An analog of the Dougall formula and of the de Branges-Wilson integral
- Determinants of elliptic hypergeometric integrals
- Inversions of integral operators and elliptic beta integrals on root systems
- On Racah operators
- Quantum inverse problem method. I
- Multipoint correlation functions in Liouville field theory and minimal Liouville gravity
- A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions
- A q-analog of the Gauss summation theorem for hypergeometric series in U(n)
- Yang-Baxter equation and representation theory. I
- Elliptic hypergeometric series on root systems.
- Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories.
- New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains
- \(\mathrm{SL}(2,\mathbb{C})\) Gustafson integrals
- New compact construction of eigenstates for supersymmetric spin chains
- A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations
- On the separation of variables for the modular XXZ magnet and the lattice sinh-Gordon models
- \(3d\) dualities from \(2d\) free field correlators: recombination and rank stabilization
- Barnes-Ismagilov integrals and hypergeometric functions of the complex field
- The endless beta integrals
- A pair of commuting hypergeometric operators on the complex plane and bispectrality
- Unitarity of the SoV transform for the Toda chain
- Separation of variables and scalar products at any rank
- Short proofs of the elliptic beta integrals
- Basso-Dixon correlators in two-dimensional fishnet CFT
- Quantum mechanics of null polygonal Wilson loops
- On the elliptic beta function
- Iterative construction of eigenfunctions of the monodromy matrix for $SL(2,\mathbb {C})$ magnet
- Elliptic beta integrals and solvable models of statistical mechanics
- Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs
- New solutions of the star–triangle relation with discrete and continuous spin variables
- Racah operators for principal series of representations of the group $ \mathrm {SL}(2,\mathbb C)$
- The importance of the Selberg integral
- Some q-Beta and Mellin–Barnes Integrals with Many Parameters Associated to the Classical Groups
- Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
- Some q-Beta Integrals on $SU(n)$ and $Sp(n)$ That Generalize the Askey–Wilson and Nasrallah–Rahman Integrals
- The open XXZ spin chain in the SoV framework: scalar product of separate states
- INTEGRABILITY IN QCD AND BEYOND
- Theta hypergeometric integrals
- Hypergeometric functions over an arbitrary field
- On quantum separation of variables
- Boundary conditions for integrable quantum systems
- On $BC$ type basic hypergeometric orthogonal polynomials
- The open XXX spin chain in the SoV framework: scalar product of separate states
- Spin chains and Gustafson’s integrals
- Gustafson integrals for $SL(2, \mathbb{C})$ spin magnet
- Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame
- A new solution of the star–triangle relation
- Yang-Baxter equation, parameter permutations, and the elliptic beta integral
- Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables