Aspects of the S transformation Bootstrap
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.
Cite
@article{arxiv.1911.02309,
title = {Aspects of the S transformation Bootstrap},
author = {Enrico M. Brehm and Diptarka Das},
journal= {arXiv preprint arXiv:1911.02309},
year = {2020}
}
Comments
27+7 pages, 3 figures, v2 : improved the numerics for torus-one-point function bootstrap, corrected a missing factor in the torus-two-point function, conclusions unchanged, and new references added