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

Maloney, Alexander; Ng, Gim Seng; Ross, Simon F.; Tsiares, Ioannis

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Authors

Alexander Maloney

Gim Seng Ng

Ioannis Tsiares



Abstract

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

Citation

Maloney, A., Ng, G. S., Ross, S. F., & Tsiares, I. (2019). Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT. Journal of High Energy Physics, 2019(3), Article 75. https://doi.org/10.1007/jhep03%282019%29075

Journal Article Type Article
Acceptance Date Mar 6, 2019
Online Publication Date Mar 13, 2019
Publication Date Mar 31, 2019
Deposit Date Mar 19, 2019
Publicly Available Date Mar 19, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 3
Article Number 75
DOI https://doi.org/10.1007/jhep03%282019%29075
Related Public URLs https://arxiv.org/abs/1810.11054

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.





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