A complexity/fidelity susceptibility g-theorem for AdS3/BCFT2
A complexity/fidelity susceptibility g-theorem for AdS3/BCFT2
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DOI：
10.1007/jhep06(2017)131
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发表时间：
2017-02
影响因子：
5.4
通讯作者：
M. Flory
中科院分区：
文献类型：
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作者：
M. Flory
我们使用最近提出的全息Kondo模型作为ADS/边界CFT(BCFT)对偶性的一个众所周知的例子，并明确地表明在该模型中，体积沿RG流减小。然后，我们得到了一个证据，证明这种体积损失确实是Takayanagi在2011年提出的那种ADS/BCFT模型的一个通用特征。根据最近提出的将体积与对偶场理论中的复杂性或保真磁化率等量全息关联的建议，这表明存在与Affleck-Ludwig定理类似的复杂性或保真磁化率，该定理著名地陈述了边界熵沿BCFT的RG流的减小。我们对这种可能性发表评论。
We use a recently proposed holographic Kondo model as a well-understood example of AdS/boundary CFT (BCFT) duality and show explicitly that in this model the bulk volume decreases along the RG flow. We then obtain a proof that this volume loss is indeed a generic feature of AdS/BCFT models of the type proposed by Takayanagi in 2011. According to recent proposals holographically relating bulk volume to such quantities as complexity or fidelity susceptibility in the dual field theory, this suggests the existence of a complexity or fidelity susceptibility analogue of the Affleck-Ludwig g-theorem, which famously states the decrease of boundary entropy along the RG flow of a BCFT. We comment on this possibility.