Modular bootstrap revisited
Modular bootstrap revisited
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DOI：
10.1007/jhep09(2018)061
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发表时间：
2016-08
影响因子：
5.4
通讯作者：
S. Collier;Ying-Hsuan Lin;Xi Yin
中科院分区：
文献类型：
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作者：
S. Collier;Ying-Hsuan Lin;Xi Yin
本文利用模自举法对中心电荷c> 1的二维么正紧致共形场论的谱进行了约束。上界的差距在任何自旋的主要运营商的尺寸，以及在标量原色的尺寸，计算数值作为中心电荷的函数，使用半定规划。我们的边界完善了Hellerman和Friedan-Keller的边界，并且在某些情况下被已知的CFTs饱和。特别是，我们表明，酉CFTs与c< 8必须承认相关的变形，和一个非平凡的约束上的差距的标量原色存在c< 25。我们还研究了在扭曲的差距，边界上的运营商的退化的存在下，尺寸差距的界限，并演示了如何“极值谱”，最大限度地提高退化的差距可以确定数值。
We constrain the spectrum of two-dimensional unitary, compact conformal field theories with central charge c> 1 using modular bootstrap. Upper bounds on the gap in the dimension of primary operators of any spin, as well as in the dimension of scalar primaries, are computed numerically as functions of the central charge using semi-definite programming. Our bounds refine those of Hellerman and Friedan-Keller, and are in some cases saturated by known CFTs. In particular, we show that unitary CFTs with c< 8 must admit relevant deformations, and that a nontrivial bound on the gap of scalar primaries exists for c< 25. We also study bounds on the dimension gap in the presence of twist gaps, bounds on the degeneracy of operators, and demonstrate how “extremal spectra” which maximize the degeneracy at the gap can be determined numerically.