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核与粒子物理学术报告会 50

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Nuclear and Particle Physics Colloquium 50
(核与粒子物理学术报告会50)

Place: Room 513(Small), Main Building, Beihang University

Time: 14:00-16:00, March 21, 2018

Title: Conformal Bootstrap to Renyi Entropy in 2D CFTs

Speaker: Dr. Song He, Max Planck Institute for Gravitational Physics(Albert Einstein Institute)

Abstract:
We mainly extend to study the R/'enyi entanglement entropy (REE) of the states excited by local operators from two dimensional rational CFTs, e.g. Minimal models to irrational conformal field theories (CFTs), especially in Minimal models, Liouville field theory (LFT) and N=1super Liouville field theory (SLFT). In particular, we consider the excited states obtained by acting on the vacuum with primary operators. These states can be divided into three classes in LFT and SLFT. We show that the 2nd REE of such local excited states becomes divergent in early and late time limits. Choosing a target state and reference state in the same class, the variation of REE between target and reference states can be well defined. The difference of such variation of REE between in early and late time limit always coincides with the log of the ratio of fusion matrix element between target states and reference states. Furthermore, we also study the locally excited states by acting generic descendent operators on the vacuum and the difference of variation of REE will be sum of the log of the ratio of the fusion matrix element and some additional normalization factors. Because the identity operator does not live in Hilbert space of LFT and SLFT, we found that all these properties are quite different from those of excited states in 1+1 dimensional rational CFTs. In the meantime, we also comment how REE relate to OTOC in 2D CFTs and how it characterizes chaotic behavior in 2D CFTs by indirect way.
何松,2011年中科院高能所理论物理博士,2011年-2013年中科院理论物理研究所博士后,2013年-2015年获得JSPS资助在日本汤川研究所开展博士后研究,目前为德国爱因斯坦研究所(AEI)博士后。主要研究方向为弦理论和量子场论中与量子信息理论交叉研究, 已在JHEP、PRD、EPJC、NPB等国内外专业学术期刊上发表研究论文30余篇。
 
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