ODE/IM correspondence for affine Lie algebras: a numerical approach (Q5876372)

scientific article; zbMATH DE number 7648055

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English	ODE/IM correspondence for affine Lie algebras: a numerical approach	scientific article; zbMATH DE number 7648055

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instance of

scholarly article

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title

ODE/IM correspondence for affine Lie algebras: a numerical approach (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

1 February 2023

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full work available at URL

https://arxiv.org/abs/2004.09856

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zbMATH Keywords

ODE/IM correspondence

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integrability

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Lie algebra

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non-linear integral equations

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MaRDI profile type

MaRDI publication profile

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cites work

Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations

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Spectral determinants for Schrödinger equation and ${\mathbb{Q}}$-operators of conformal field theory

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On the relation between Stokes multipliers and the $T$-$Q$ systems of conformal field theory

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New thermodynamic Bethe ansatz equations without strings

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Differential equations and integrable models: the $\text{SU}(3)$ case

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Functional relations in Stokes multipliers and solvable models related toUq(A(1)n)

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Differential equations for generalSU(n) Bethe ansatz systems

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Integrable structure of $W_3$ conformal field theory, quantum Boussinesq theory and boundary affine Toda theory

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Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics

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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras

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Meromorphic Property of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix in the Complex Plane of Angular Momentum

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Polynomial relations for $q$-characters via the ODE/IM correspondence

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Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. I: The simply-laced case

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Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. II: The non simply-laced case

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Quantization of soliton systems and Langlands duality

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ODE/IM correspondence and modified affine Toda field equations

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Quantum sine(h)-Gordon model and classical integrable equations

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The Bethe Ansatz and the Tzitz\'eica-Bullough-Dodd equation

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Massive ODE/IM correspondence and nonlinear integral equations for ${A_r^{(1)}}$ -type modified affine Toda field equations

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ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation

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Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras

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Massless flows between minimal $W$ models

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Higher-level eigenvalues of $Q$-operators and Schrödinger equation

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Geometrical loci and cfts via the Virasoro symmetry of the mKdV-SG hierarchy: an excursus

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Bethe ansatz equations for the classical $A^{(1)}_{n}$ affine Toda field theories

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Q4084569

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Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers

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Q4002278

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Affine Toda field theory and exact $S$-matrices

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Integrable structure of conformal field theory. II: $Q$-operator and DDV equation

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Unified approach to thermodynamic Bethe ansatz and finite size corrections for lattice models and field theories.

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Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices

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The spectrum of the transfer matrices connected with Kac-Moody algebras

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TBA equations and resurgent quantum mechanics

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Y-system for scattering amplitudes

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Thermodynamic Bethe ansatz equations for minimal surfaces in $AdS_3$

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Geometric aspects of the ODE/IM correspondence

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Form factors at strong coupling via a Y-system

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Y-system for form factors at strong coupling in $\mathrm{AdS}_5$ and with multi-operator insertions in $\mathrm{AdS}_3$

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ODE/IM correspondence and the Argyres-Douglas theory

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A solvable deformation of quantum mechanics

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New Stokes’ line in WKB theory

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Identifiers

Mathematics Subject Classification ID

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10.1088/1751-8121/ABD21E

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Sitelinks

Mathematics(1 entry)

mardi Publication:5876372