# A note on ensemble holography for rational tori

@article{Raeymaekers2021ANO, title={A note on ensemble holography for rational tori}, author={Joris Raeymaekers}, journal={Journal of High Energy Physics}, year={2021} }

Abstract
We study simple examples of ensemble-averaged holography in free compact boson CFTs with rational values of the radius squared. These well-known rational CFTs have an extended chiral algebra generated by three currents. We consider the modular average of the vacuum character in these theories, which results in a weighted average over all modular invariants. In the simplest case, when the chiral algebra is primitive (in a sense we explain), the weights in this ensemble average are all…

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