论文标题
在保形场理论中的扭曲积累。轻巧的启动方式严格的方法
Twist accumulation in conformal field theory. A rigorous approach to the lightcone bootstrap
论文作者
论文摘要
我们证明，在任何统一的CFT中，相同的标量主要运算符（即$ ϕ \ times ϕ $）的操作员产品扩展（即ope）的扭曲差距意味着主要运营商$ \ nathcal {o} _} _ {o} _ {ou \ eell $ \ ell \ ell \ ell \ ell \ ell \ ell \ ell \ ell \ eell \ ell \ eell \ ell \ ell \ ell \ ell \ ell \ eell \ eell \ eell \ eell \ eell \ eell \ eell \ eell \ fierf在相同的OPE频谱中Δ_ϕ $。对于任何二维病毒式不变的，模块化的，单一的CFT，带有可正常化的真空和中央费用$ c> 1 $，我们证明了类似的扭曲蓄能结果$ c> 1 $，我们证明了virasoro Primories的扭曲差距意味着存在Virasoro trimaries of Virasoro $ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ of \ bar {h}} $带有$ h \ rightArrow \ infty $和$ \ bar {h} \ rightarrow \ frac {c - 1} {24} $（与$ h $和$ h $和$ \ bar {h} $互换相同，也是如此。我们总结了这两个问题的相似性，并提出了LightCone Bootstrap的一般表述。
We prove that in any unitary CFT, a twist gap in the spectrum of operator product expansion (OPE) of identical scalar primary operators (i.e. $ϕ\times ϕ$) implies the existence of a family of primary operators $\mathcal{O}_{τ, \ell}$ with spins $\ell \rightarrow \infty$ and twists $τ\rightarrow 2 Δ_ϕ$ in the same OPE spectrum. A similar twist-accumulation result is proven for any two-dimensional Virasoro-invariant, modular-invariant, unitary CFT with a normalizable vacuum and central charge $c > 1$, where we show that a twist gap in the spectrum of Virasoro primaries implies the existence of a family of Virasoro primaries $\mathcal{O}_{h, \bar{h}}$ with $h \rightarrow \infty$ and $\bar{h} \rightarrow \frac{c - 1}{24}$ (the same is true with $h$ and $\bar{h}$ interchanged). We summarize the similarity of the two problems and propose a general formulation of the lightcone bootstrap.
