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Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT.

Maloney, Alexander and Ng, Gim Seng and Ross, Simon F. and Tsiares, Ioannis (2019) 'Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT.', Journal of high energy physics., 2019 (3). p. 75.


Two-dimensional CFTs have an infinite set of commuting conserved charges, known as the quantum KdV charges. We study the Generalized Gibbs Ensemble with chemical potentials for these charges at high temperature. In a large central charge limit, the partition function can be computed in a saddle-point approximation. We compare the ensemble values of the KdV charges to the values in a microstate, and find that they match irrespective of the values of the chemical potentials. We study the partition function at finite central charge perturbatively in the chemical potentials, and find that this degeneracy is broken. We also study the statistics of the KdV charges at high level within a Virasoro representation, and find that they are sharply peaked

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:06 March 2019
Date deposited:19 March 2019
Date of first online publication:13 March 2019
Date first made open access:No date available

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