Virasoro conformal blocks and thermality from classical background fields

Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.

doi:10.1007/JHEP11(2015)200

Title: Virasoro conformal blocks and thermality from classical background fields

Journal Article · Mon Nov 30 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP11(2015)200· OSTI ID:1238365

Fitzpatrick, A. Liam ^[1]; Kaplan, Jared ^[2]; Walters, Matthew T. ^[3]

Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Johns Hopkins Univ., Baltimore, MD (United States)
Boston Univ., Boston, MA (United States)

We 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 as the seed for a new Virasoro block recursion relation expanded in the heavy-light limit. Furthermore, we comment on the implications of our results for the universality of black hole thermality in AdS₃ , or equivalently, the eigenstate thermalization hypothesis for CFT₂ at large central charge.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC03-76SF00515

OSTI ID:: 1238365

Report Number(s):: SLAC-PUB-16625; PII: 2614

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 11; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 194 works

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