RQC Seminar
53rd RQC Seminar
講演者
Mr. Vaibhav Gautam
( University of Surrey, UK,Ph.D. Student )日程
2023年6月16日(金) 16:00-17:00
開催場所
ハイブリッド(ZOOM・ 研究本館3階 セミナー室(345-347) C01)
講演タイトル
Matrix Entanglement
お問合せ
rqc_info[at]ml.riken.jp
講演概要
In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important role for the emergent geometry. In this paper, we discuss how the entanglement on the gravity side can be described as the entanglement between matrix degrees of freedom in the dual gauge theory. We consider several classes of quantum states to which our approach can be crucial. When applied to fuzzy sphere, matrix entanglement can be used to define the usual spatial entanglement in two-brane or five-brane world-volume theory nonperturbatively in a regularized setup. Another application is to a small black hole in AdS_5 X S^5 that can evaporate without being attached to a heat bath, for which our approach suggests a gauge theory origin of the Page curve. The confined degrees of freedom in the partially-deconfined states play a crucial role in recovery of the Page curve.