PoS - Proceedings of Science
Volume 406 - Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2021) - Workshop on Quantum Geometry, Field Theory and Gravity
Target space entanglement in the matrix model for bubbling geometry
A. Tsuchiya* and K. Yamashiro
Full text: pdf
Published on: November 23, 2022
Abstract
We study the target space entanglement entropy in the context of the bubbling AdS geometry.
We consider it in a complex matrix model which describes the chiral primary sector in
N=4 super Yang-Mills theory.
The targe space in this case is a two-dimensional plane where the eigenvalues of the
complex matrix distribute. It is identified with a plane in the bubbling geometry where
the boundary condition is fixed by specifying
a droplet that is identified with the eigenvalue distribution.
We calculate the target space entanglement entropy of a subregion in the plane
for each of states in the matrix model that correspond to AdS_5xS^5,
an AdS giant graviton and a giant graviton in the bubbling geometry.
We find that it agrees qualitatively with the area of the boundary of the subregion in the bubbling geometry
DOI: https://doi.org/10.22323/1.406.0256
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