Aspects of the S transformation bootstrap
Aspects of the S transformation bootstrap
复制标题
S 转换引导程序的各个方面
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
D. Das
中科院分区：
文献类型：
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作者：
E. Brehm;D. Das
我们回顾和系统化的两个（解析）引导技术在二维共形场论使用的S-模变换。第一个给出了普遍的结果，在渐近制度的极端温度。沿着的介绍已知的结果，我们使用这种技术，也得到渐近公式的Zamolodchikov递归系数，匹配以前的progratures从数值和Regge渐近分析。第二种技术侧重于中间温度。我们用它来勾画一个方法来推导非对角平方OPE系数的界限，以及在非负对角OPE系数的情况下改进现有的谱界限。
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.