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

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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1300705
• Related Public URLs: https://arxiv.org/abs/1810.11054