# Virasoro conformal blocks and thermality from classical background fields

@article{Fitzpatrick2015VirasoroCB,
title={Virasoro conformal blocks and thermality from classical background fields},
author={A. Liam Fitzpatrick and Jared Kaplan and Matthew T. Walters},
journal={Journal of High Energy Physics},
year={2015},
volume={2015},
pages={1-32}
}
• Published 21 January 2015
• Physics
• Journal of High Energy Physics
A bstractWe show that in 2d CFTs at large central charge, the coupling of the stress tensor to heavy operators can be re-absorbed by placing the CFT in a non-trivial background metric. This leads to a more precise computation of the Virasoro conformal blocks between heavy and light operators, which are shown to be equivalent to global conformal blocks evaluated in the new background. We also generalize to the case where the operators carry U(1) charges. The refined Virasoro blocks can be used…
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