Abstract
We discuss partition function of 2d CFTs decorated by higher qKdV charges in the thermodynamic limit when the size of the spatial circle goes to infinity. In this limit the saddle point approximation is exact and at infinite central charge generalized partition function can be calculated explicitly. We show that leading 1/c corrections to free energy can be reformulated as a sum over Young tableaux which we calculate for the first two qKdV charges. Next, we compare generalized ensemble with the “eigenstate ensemble” that consists of a single primary state. At infinite central charge the ensembles match at the level of expectation values of local operators for any values of qKdV fugacities. When the central charge is large but finite, for any values of the fugacities the aforementioned ensembles are distinguishable.
Document Type
Article
Publication Date
1-11-2019
Digital Object Identifier (DOI)
https://doi.org/10.1007/JHEP01(2019)098
Funding Information
Article funded by SCOAP3.
This work was supported by a grant of the Russian Science Foundation (Project No. 17-12-01587).
Repository Citation
Dymarsky, Anatoly and Pavlenko, Kirill, "Generalized Gibbs Ensemble of 2d CFTs at Large Central Charge in the Thermodynamic Limit" (2019). Physics and Astronomy Faculty Publications. 660.
https://uknowledge.uky.edu/physastron_facpub/660
Notes/Citation Information
Published in Journal of High Energy Physics, v. 2019, issue 1, article 98, p. 1-21.
© The Author(s) 2019
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.