Spectral determinants for Schrödinger equation and Q-operators of conformal field theory

Bazhanov, Vladimir V.; Lukyanov, Sergei L.; Zamolodchikov, Alexander B.

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Spectral determinants for Schrödinger equation and Q-operators of conformal field theory

Date

2001

Authors

Bazhanov, Vladimir V.

Lukyanov, Sergei L.

Zamolodchikov, Alexander B.

Abstract

Relation between the vacuum eigenvalues of CFT Q-operators and spectral determinants of one-dimensional Schrödinger operator with homogeneous potential, recently conjectured by Dorey and Tateo for special value of Virasoro vacuum parameter p, is proven to hold, with suitable modification of the Schrödinger operator, for all values of p.