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  Aspects of the S transformation Bootstrap

Brehm, E. M., & Das, D. (2020). Aspects of the S transformation Bootstrap. Journal of Statistical Mechanics: Theory and Experiment, 2020(5): 053103. doi:10.1088/1742-5468/ab7f36.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-4D13-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-7614-F
Genre: Journal Article

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 Creators:
Brehm, Enrico M.1, Author              
Das, Diptarka1, Author              
Affiliations:
1Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477692              

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech
 Abstract: We review and systematize two (analytic) bootstrap techniques in two-dimensional conformal field theories using the S-modular transformation. The first one gives universal results in asymptotic regimes by relating extreme temperatures. Along with the presentation of known results, we use this technique to also derive asymptotic formulae for the Zamolodchikov recursion coefficients which match previous conjectures from numerics and from Regge asymptotic analysis. The second technique focuses on intermediate temperatures. We use it to sketch a methodology to derive a bound on off-diagonal squared OPE coefficients, as well as to improve existing bounds on the spectrum in case of non-negative diagonal OPE coefficients.

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 Dates: 2019-11-062020
 Publication Status: Published in print
 Pages: 27+6 pages, 3 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1911.02309
URI: http://arxiv.org/abs/1911.02309
DOI: 10.1088/1742-5468/ab7f36
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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Pages: - Volume / Issue: 2020 (5) Sequence Number: 053103 Start / End Page: - Identifier: -