Seminar detail: Target space entanglement in a matrix model for the bubbling geometry

Date&Time	Wed Dec 15 2021 (14:00 - 15:00)
Speaker	Kazushi Yamashiro
Affiliation	Shizuoka University
Title	Target space entanglement in a matrix model for the bubbling geometry
Abstract	We study the target space entanglement entropy in a complex matrix model that describes the chiral primary sector in N=4 super Yang-Mills theory, which is associated with the bubbling AdS geometry. The target space for the matrix model is a two-dimensional plane where the eigenvalues of the complex matrix distribute. The eigenvalues are regarded as the position coordinates of fermions, and the eigenvalue distribution can be viewed as a droplet formed by the fermions, which is identified with one that specifies a boundary condition in the bubbling geometry. We consider states in the matrix model that correspond to AdS5 × S5 , an AdS giant graviton and a giant graviton in the bubbling geometry. We calculate the target space entanglement entropy of a subregion for each of such states in the matrix model as well as the area of the boundary of the subregion in the bubbling geometry, and find a qualitative agreement between them.
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