论文标题
缺陷CFT的分散关系
A dispersion relation for defect CFT
论文作者
论文摘要
我们提出了缺陷CFT的分散关系，该关系在存在缺陷的情况下重建两点函数作为单个不连续性的积分。该公式的主要优点是它绕过了共形块的重新启动，简化了显式的引导计算。作为应用，我们在epsilon扩展中复制了已知的单肌缺陷结果，并在$ \ MATHCAL {N} = 4 $ SYMS中以强耦合为Supersymmetric Wilson Line提供了新的结果。特别是，我们为任意长度的单个跟踪操作员的最高$ r $ symmemetry通道提供了一个新的分析公式。
We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap calculations, bypassing the resummation of conformal blocks. As applications we reproduce known results for monodromy defects in the epsilon-expansion, and present new results for the supersymmetric Wilson line at strong coupling in $\mathcal{N}=4$ SYM. In particular, we derive a new analytic formula for the highest $R$-symmetry channel of single-trace operators of arbitrary length.
