The ODE/IM correspondence
Patrick DoreyDepartment of Mathematical Sciences, University of Durham, South Road, Durham, DH1 3LE, UKClare DunningInstitute for Mathematics, Statistics and Actuarial Science, The University of Kent, Canterbury, CT2 7NF, UKRoberto TateoDipartimento di Fisica Teorica e sezione INFN, Università di Torino, Via Pietro Giuria 1, 10125 Torino, Italy
2007en
ABI
Abstract
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.
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Cited by 50 references