RQC Seminar

53rd RQC Seminar

• Speaker

  Mr.Vaibhav Gautam
  ( University of Surrey, UK,Ph.D. Student )

• Date

  16:00-17:00, June 16, 2023 (Friday)

• Venue

  Hybrid(ZOOM・ Wako Main Research 3F 345-347 Seminar Room)

• Title

  Matrix Entanglement

• Inquiries

  rqc_info[at]ml.riken.jp

Abstract
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.