Open Access
August 2013 The integrable structure of nonrational conformal field theory
A. Bytsko, J. Teschner
Adv. Theor. Math. Phys. 17(4): 701-740 (August 2013).


Using the example of Liouville theory, we show how the separation into left- and right-moving degrees of freedom in a nonrational conformal field theory can be made explicit in terms of its integrable structure. The key observation is that there exist separate Baxter Q-operators for left and right-moving degrees of freedom. Combining a study of the analytic properties of the Q-operators with Sklyanin’s Separation of Variables Method leads to a complete characterization of the spectrum. Taking the continuum limit allows us in particular to rederive the Liouville reflection amplitude using only the integrable structure.


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A. Bytsko. J. Teschner. "The integrable structure of nonrational conformal field theory." Adv. Theor. Math. Phys. 17 (4) 701 - 740, August 2013.


Published: August 2013
First available in Project Euclid: 21 August 2014

zbMATH: 06296983
MathSciNet: MR3250766

Rights: Copyright © 2013 International Press of Boston

Vol.17 • No. 4 • August 2013
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