Spectral Determinants for Schrödinger Equation and Q-Operators of Conformal Field Theory
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.
- Publication:
-
Journal of Statistical Physics
- Pub Date:
- February 2001
- DOI:
- 10.1023/A:1004838616921
- arXiv:
- arXiv:hep-th/9812247
- Bibcode:
- 2001JSP...102..567B
- Keywords:
-
- Schrödinger equation;
- Q-operators;
- vacuum eigenvalues;
- High Energy Physics - Theory;
- Condensed Matter;
- Mathematics - Quantum Algebra
- E-Print:
- 9 pages, harvmac.tex, typos corrected