近日，美国德克萨斯大学的Saba Asif Baig与Sanjit Shashi合作并取得一项新进展。经过不懈努力，他们揭示对称轨形中跨界面的输运过程。相关研究成果已于2023年10月27日在国际知名学术期刊《高能物理杂志》上发表。
该研究团队探究了对称轨形理论中，共形边界如何编码能量传输系数，即相应共形界面的传输和反射概率。这些研究涵盖了一大类非合理理论，并与全息设置有着紧密的联系。该研究的核心目标在于对比这些系数在轨形点（场论计算）与轨形高度变形时的值（重力计算）——这种方法类似于过去AdS/CFT对应中强耦合与弱耦合下物理量的比较。在轨形点上，研究人员发现（加权平均）传输系数是基础种子理论中系数的简单平均值。
然后，研究人员深入研究了T4 sigma模型界面CFT对偶到IIB型超重力在3d Janus解上的对称轨形。他们对比了文献[1]中所得的全息透射系数与轨形点的透射系数。结果显示，与边界熵的情况相反，透射系数的剖面随着耦合强度的增加而显著增大。此外，本文还探讨了与边界态编码的扭曲扇形数据相关的一些思路。
附：英文原文
Title: Transport across interfaces in symmetric orbifolds
Author: Baig, Saba Asif, Shashi, Sanjit
Issue&Volume: 2023-10-27
Abstract: We examine how conformal boundaries encode energy transport coefficients — namely transmission and reflection probabilities — of corresponding conformal interfaces in symmetric orbifold theories. These constitute a large class of irrational theories and are closely related to holographic setups. Our central goal is to compare such coefficients at the orbifold point (a field theory calculation) against their values when the orbifold is highly deformed (a gravity calculation) — an approach akin to past AdS/CFT-guided comparisons of physical quantities at strong versus weak coupling. At the orbifold point, we find that the (weighted-average) transport coefficients are simply averages of coefficients in the underlying seed theory. We then focus on the symmetric orbifold of the T4 sigma model interface CFT dual to type IIB supergravity on the 3d Janus solution. We compare the holographic transmission coefficient, which was found by [1], to that of the orbifold point. We find that the profile of the transmission coefficient substantially increases with the coupling, in contrast to boundary entropy. We also present some related ideas about twisted-sector data encoded by boundary states.
DOI: 10.1007/JHEP10(2023)168
Source: https://link.springer.com/article/10.1007/JHEP10(2023)168