Emergence of kinematic space from quantum modular geometric tensor

DOI10.1016/j.physletb.2022.136893zbMath1484.81049arXiv2110.08703OpenAlexW3206774988MaRDI QIDQ2071672

Chen-Te Ma, Xing Huang

Publication date: 28 January 2022

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08703

zbMATH Keywords

kinematic spaceemergencemodular Berry curvaturemodular Hamiltonianquantum modular geometric tensor

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Kinematic spaces (51J15)

Related Items (1)

Holographic entanglement entropy in \(T\overline{T}\)-deformed \(\mathrm{AdS}_3\)

Cites Work

• A universal feature of CFT Rényi entropy
• Towards a derivation of holographic entanglement entropy
• Quantum corrections to holographic entanglement entropy
• Riemannian structure on manifolds of quantum states
• A stereoscopic look into the bulk
• Entanglement, holography and causal diamonds
• Exact Virasoro blocks from Wilson lines and background-independent operators
• The probe of curvature in the Lorentzian \(\mathrm{AdS_2/CFT_1}\) correspondence
• A modular sewing kit for entanglement wedges
• Integral geometry and holography
• Quantum correction of the Wilson line and entanglement entropy in the pure \(\mathrm{AdS}_3\) Einstein gravity theory
• Berry Curvature and Riemann Curvature in Kinematic Space with Spherical Entangling Surface

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