Virasoro conformal blocks and thermality from classical background fields Article Swipe
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·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1007/jhep11(2015)200
· OA: W1918151284
We show that in 2d CFTs at large central charge, the coupling of the stress\ntensor to heavy operators can be re-absorbed by placing the CFT in a\nnon-trivial background metric. This leads to a more precise computation of the\nVirasoro conformal blocks between heavy and light operators, which are shown to\nbe equivalent to global conformal blocks evaluated in the new background. We\nalso generalize to the case where the operators carry U(1) charges. The refined\nVirasoro blocks can be used as the seed for a new Virasoro block recursion\nrelation expanded in the heavy-light limit. We comment on the implications of\nour results for the universality of black hole thermality in $AdS_3$, or\nequivalently, the eigenstate thermalization hypothesis for $CFT_2$ at large\ncentral charge.\n