Entanglement entropy through conformal interfaces in the 2D Ising model

被引:41
作者
Brehm, E. [1 ]
Brunner, I. [1 ]
机构
[1] Univ Munich, Arnold Sommerfeld Ctr, D-80333 Munich, Germany
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 09期
关键词
Field Theories in Lower Dimensions; Conformal and W Symmetry; Boundary Quantum Field Theory; Supersymmetric gauge theory; BOUNDARY-CONDITIONS; FIELD-THEORY; DEFECTS;
D O I
10.1007/JHEP09(2015)080
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves conformal invariance. Using the replica trick, we compute the entanglement entropy between the two subsystems. We observe that the entropy, just like in the case without defects, shows a logarithmic scaling behavior with respect to the size of the system. Here, the prefactor of the logarithm depends on the strength of the defect encoded in the transmission coefficient. We also comment on the supersymmetric case.
引用
收藏
页数:26
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