Identification of the stress-energy tensor through conformal restriction in SLE and related processes
Identification of the stress-energy tensor through conformal restriction in SLE and related processes
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DOI：
10.1007/s00220-006-0106-1
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发表时间：
2006-12-01
影响因子：
2.4
通讯作者：
Cardy, J.
中科院分区：
文献类型：
--
作者：
Doyon, B.;Riva, V.;Cardy, J.
在Schramm-Loewner演化(SLE)和一些相关过程的框架下，我们导出了共形场论(CFT)的Ward恒等式。这一结果的灵感来自于观察到SLE的特定事件具有正确的物理自旋和标度维，并通过共形约束性质得到了证明，从而导致了一些具有涉及体应力-能量张量的关联函数的概率的识别。基于共形约束，仅当kappa=8/3时，即对应于中心电荷c=0和在相应的O(N)模型中环被抑制的情况，该推导才适用于SLE。
We derive the Ward identities of Conformal Field Theory (CFT) within the framework of Schramm-Loewner Evolution (SLE) and some related processes. This result, inspired by the observation that particular events of SLE have the correct physical spin and scaling dimension, and proved through the conformal restriction property, leads to the identification of some probabilities with correlation functions involving the bulk stress-energy tensor. Being based on conformal restriction, the derivation holds for SLE only at the value kappa = 8/3, which corresponds to the central charge c = 0 and the case when loops are suppressed in the corresponding O(n) model.