The ODE / IM correspondence
نویسندگان
چکیده
This article reviews a recently-discovered link between integrable quantum field theories and certain ordinary differential equations in the complex domain. Along the way, aspects of PT-symmetric quantum mechanics are discussed, and some elementary features of the six-vertex model and the Bethe ansatz are explained.
منابع مشابه
On the ODE/IM correspondence for minimal models
Within the framework of the ODE/IM correspondence, we show that the minimal conformal field theories with c < 1 emerge naturally from the monodromy properties of certain families of ordinary differential equations.
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Let Uq(b) be the Borel subalgebra of a quantum affine algebra of type X (1) n (X = A,B,C,D). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the q-characters of certain representations of Uq(b).
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