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  Aspects of the S transformation Bootstrap

Brehm, E. M., & Das, D. (in preparation). Aspects of the S transformation Bootstrap.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-4D13-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-4D18-B
Genre: Paper

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1911.02309.pdf (Preprint), 694KB
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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: 2019-11-06
 Publication Status: Not specified
 Pages: 27+6 pages, 3 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1911.02309
URI: http://arxiv.org/abs/1911.02309
 Degree: -

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