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

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arxiv hep-th/9906219 v2 pith:QL7EDS36 submitted 1999-06-28 hep-th

classification hep-th
keywords fieldquantumcertaindeterminantsexpectationintegrableq-operatorsschrodinger
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The vacuum expectation values of the so-called Q-operators of certain integrable quantum field theories have recently been identified with spectral determinants of particular Schrodinger operators. In this paper we extend the correspondence to the T-operators, finding that their vacuum expectation values also have an interpretation as spectral determinants. As byproducts we give a simple proof of an earlier conjecture of ours, proved by another route by Suzuki, and generalise a problem in PT symmetric quantum mechanics studied by Bender and Boettcher. We also stress that the mapping between Q-operators and Schrodinger equations means that certain problems in integrable quantum field theory are related to the study of Regge poles in non-relativistic potential scattering.

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Cited by 5 Pith papers

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  4. The ODE/IM Correspondence between $C(2)^{(2)}$-type Linear Problems and 2d $\mathcal{N}=1$ SCFT

    hep-th 2026-04 accept novelty 5.5 of 10

    WKB periods of the fully diagonalized C(2)^{(2)} Lax operator coincide with NS-sector local IoM eigenvalues of N=1 SCFT up to sixth order under a fixed parameter dictionary.

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