Differential equations and the Bethe ansatz

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We review some surprising links which have been discovered in the last few years between the theory of certain ordinary differential equations, and particular integrable lattice models and quantum field theories in two dimensions. An application of this correspondence to a problem in non-Hermitian (PT-symmetric) quantum mechanics is also discussed.
10 pages, 4 figures, latex. Contribution to the Proceedings of ICMP 2003, Lisbon

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