Matrix Entanglement
arXiv:2204.06472 · doi:10.1007/JHEP01(2023)003
Abstract
In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles 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. Our approach, which we call 'matrix entanglement', is different from 'target-space entanglement' proposed and discussed recently by several groups. We consider several classes of quantum states to which our approach can play important roles. 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 AdS5*S5 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 the important roles.
arXiv comment37 pages, 11 figures, references added
References in corpus (67)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- M Theory As A Matrix Model: A Conjecture
- Strings in flat space and pp waves from Super Yang Mills
- A Covariant Holographic Entanglement Entropy Proposal
- Eternal Black Holes in AdS
- Dielectric-Branes
- Black holes as mirrors: quantum information in random subsystems
- Bound States Of Strings And -Branes
- Generalized gravitational entropy
- Information in Black Hole Radiation
- Building up spacetime with quantum entanglement
- AdS Dual of the Critical O(N) Vector Model
- Supergravity and The Large N Limit of Theories With Sixteen Supercharges
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Quantum corrections to holographic entanglement entropy
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The entropy of Hawking radiation
- The IR/UV Connection in the Non-Commutative Gauge Theories
- Quantum Correlations in Two-Fermion Systems
- The entanglement of indistinguishable particles shared between two parties
- Information Transfer with a Gravitating Bath
- Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
- Numerical study of fermion and boson models with infinite-range random interactions
- Inconsistency of Islands in Theories with Long-Range Gravity
- On The Entanglement Entropy For Gauge Theories
- Transverse Fivebranes in Matrix Theory
- Aspects of Entanglement Entropy for Gauge Theories
- Comments on Black Holes in String Theory
- M-Theory and the Light Cone
- Dirichlet Baths and the Not-so-Fine-Grained Page Curve
- Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
- Failure of the split property in gravity and the information paradox
- Schwarzchild Black Holes in Matrix Theory II
- A proposal of the gauge theory description of the small Schwarzschild black hole in AdSS
- AdS Maps and Diagrams of Bi-local Holography
- A Derivation of AdS/CFT for Vector Models
- Matrix Model simulations using Quantum Computing, Deep Learning, and Lattice Monte Carlo
- Comments on Black Holes in Matrix Theory
- Entanglement entropy in two dimensional string theory
- Anatomy of Deconfinement
- Small AdS black holes from SYM
- Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
- Submatrix deconfinement and small black holes in AdS
- Chaos in Matrix Models and Black Hole Evaporation
- Holographic entanglement entropy and the internal space
- Evaporation of Schwarzschild Black Holes in Matrix Theory
- Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
- Gauge Invariant Target Space Entanglement in D-Brane Holography
- Deep Quantum Geometry of Matrices
- Entanglement entropy on the fuzzy sphere
- Bulk Entanglement Entropy and Matrices
- Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
- Color Confinement and Bose-Einstein Condensation
- Bulk geometry in gauge/gravity duality and color degrees of freedom
- Areas and entropies in BFSS/gravity duality
- Entanglement and Confinement in Coupled Quantum Systems
- Thermal phase transition in Yang-Mills matrix model
- Target space entanglement in Matrix Models
- A microscopic description of black hole evaporation via holography
- Partial Deconfinement at Strong Coupling on the Lattice
- On the transverse M5-branes in matrix theory
- Entanglement in the Quantum Hall Matrix Model
- Target space entanglement in quantum mechanics of fermions and matrices
- On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
- Entanglement entropy in scalar field theory on the fuzzy sphere
- Spherical transverse M5-branes from the plane wave matrix model
- Dynamical Symmetry and the Thermofield State at Large