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

DOI10.1088/1751-8121/aa7480zbMath1377.82013arXiv1612.00727OpenAlexW2976128107MaRDI QIDQ5348274

Sergey E. Derkachov, Alexander N. Manashov, Pavel A. Valinevich

Publication date: 15 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00727

zbMATH Keywords

spin chainsMellin-Barnes integralsGustafson integral

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Related Items (11)

The Gelfand–Tsetlin basis for infinite-dimensional representations of gln(C) ⋮ On Gustafson integrals for the group \(\mathrm{SL}(2,\mathbb{R} )\) ⋮ Barnes-Ismagilov integrals and hypergeometric functions of the complex field ⋮ The endless beta integrals ⋮ Elliptic hypergeometric function and $6j$-symbols for the SL(2,$\mathbb{C}$) group ⋮ Gamma function solutions to the star-triangle equation ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ \(\mathrm{SL}(2,\mathbb{C})\) Gustafson integrals ⋮ Lens elliptic gamma function solution of the Yang–Baxter equation at roots of unity ⋮ On complex gamma-function integrals ⋮ The \(6j\)-symbols for the \(SL(2,\mathbb{C})\) group

Cites Work

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• Exact solution of the Faddeev-Volkov model
• Quantum inverse problem method. I
• Transition function for the Toda chain
• Quantum mechanics of null polygonal Wilson loops
• Iterative construction of eigenfunctions of the monodromy matrix for $SL(2,\mathbb {C})$ magnet
• 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
• Hypergeometric functions over an arbitrary field
• The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
• Spin chains and Gustafson’s integrals
• Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables

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