Ordinary Differential Equations and Integrable Models

Abstract

We review a recently-discovered link between the functional relations approach to integrable quantum field theories and the properties of certain ordinary differential equations in the complex domain.

12 pages, 5 figures, JHEP proceedings style. Uses epsfig, amssymb. Talk given at the conference `Nonperturbative Quantum Effects 2000', Paris

References in corpus (4)

• Differential equations and integrable models: the SU(3) case
• Functional Relations in Stokes Multipliers and Solvable Models related to U_q(A^{(1)}_n)
• Functional relations in Stokes multipliers - Fun with $x^6+\alpha x^2$ potential-
• Stokes Multipliers, Spectral Determinants and T-Q relations

Cited by in corpus (7)

• Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
• The ODE/IM Correspondence
• Supersymmetry and the spontaneous breakdown of PT symmetry
• Nonlinear supersymmetry on the plane in magnetic field and quasi-exactly solvable systems
• Beyond the WKB approximation in PT-symmetric quantum mechanics
• Complex Path Integrals and the Space of Theories
• The ODE/IM correspondence and PT-symmetric quantum mechanics