Bound on asymptotics of magnitude of three point coefficients in 2D CFT

Pal, Sridip

doi:10.1007/JHEP01(2020)023

Title: Bound on asymptotics of magnitude of three point coefficients in 2D CFT

Journal Article · 06 January 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP01(2020)023 · OSTI ID:1597248

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Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; Institute for Advanced Study

Here, we use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically.

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Research Organization:: Inst. for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: Simons Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919; SC0009988

OSTI ID:: 1597248

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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