后代的纠缠
Entanglement in descendants
摘要：
研究了二维CFT中共形子体的单区间纠缠和相对熵。子态包含非平凡纠缠，虽然自由玻色子CFT中的正则主态的纠缠熵与真空相比不包含额外的纠缠，但我们证明了其一级子态产生的纠缠熵是非平凡的，并且与该理论中的$U(1)$流的纠缠熵相同.我们确定了一般CFT中后代的纠缠熵的短间隔展开的第一子导修正，由它们在n-片平面上的四点函数得到。我们表明，这些修正是通过乘以适当的修整因子的平方，以相应的主要修正。同一主元的后代之间的相对熵与它们的修饰因子之差的平方成正比。我们应用我们的结果到一类广义自由场的后代和后代的真空，并表明他们的着装因素是普遍的。
英文摘要：
We study the single interval entanglement and relative entropies of conformal descendants in 2d CFT. Descendants contain non-trivial entanglement, though the entanglement entropy of the canonical primary in the free boson CFT contains no additional entanglement compared to the vacuum, we show that the entanglement entropy of the state created by its level one descendant is non-trivial and is identical to that of the $U(1)$ current in this theory. We determine the first sub-leading corrections to the short interval expansion of the entanglement entropy of descendants in a general CFT from their four point function on the n-sheeted plane. We show that these corrections are determined by multiplying squares of appropriate dressing factors to the corresponding corrections of the primary. Relative entropy between descendants of the same primary is proportional to the square of the difference of their dressing factors. We apply our results to a class of descendants of generalized free fields and descendants of the vacuum and show that their dressing factors are universal.
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