Holographic construction of excited CFT states
Holographic construction of excited CFT states
复制标题
CFT 激发态的全息构建
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Kostas Skenderis
中科院分区：
文献类型：
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作者：
Ariana Christodoulou;Kostas Skenderis
摘要我们提出了一种与 CFT 激发态对偶的本体解决方案的系统结构。体解是在体域中扰动构建的。线性化解是通用的，仅取决于通过算子-状态对应关系与状态相关联的主算子的共形维数，而高阶项取决于算子的详细属性，例如其 OPE 本身，并且通常涉及许多块域。我们用二维 CFT 状态解的通用部分的全息构造来说明讨论，无论是在 R × S1 上还是在 R1,1 上。我们在 CFT 和批量中计算 1 点函数，发现完全一致。我们评论与其他重建方法的关系。
A bstractWe present a systematic construction of bulk solutions that are dual to CFT excited states. The bulk solution is constructed perturbatively in bulk fields. The linearised solution is universal and depends only on the conformal dimension of the primary operator that is associated with the state via the operator-state correspondence, while higher order terms depend on detailed properties of the operator, such as its OPE with itself and generally involve many bulk fields. We illustrate the discussion with the holographic construction of the universal part of the solution for states of two dimensional CFTs, either on R × S1 or on R1,1. We compute the 1-point function both in the CFT and in the bulk, finding exact agreement. We comment on the relation with other reconstruction approaches.