Entanglement, replicas, and Thetas

DOI10.1007/JHEP01(2018)005zbMath1384.81015arXiv1706.09426MaRDI QIDQ1745416

Sunil Mukhi, Sameer Murthy, Jie-qiang Wu

Publication date: 17 April 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09426

zbMATH Keywords

conformal field theoryfield theories in lower dimensionsconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Picard schemes, higher Jacobians (14K30) Theta functions and abelian varieties (14K25) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (8)

The operator algebra of cyclic orbifolds ⋮ Thermal correction to entanglement spectrum for conformal field theories ⋮ A perturbative expansion for entanglement entropy in string theory ⋮ Monstrous entanglement ⋮ Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks ⋮ Monodromy methods for torus conformal blocks and entanglement entropy at large central charge ⋮ Rényi entanglement entropies for the compactified massless boson with open boundary conditions ⋮ Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains

Uses Software

• PARI/GP

Cites Work

• Entanglement entropy of a massive fermion on a torus
• Holographic entanglement entropy
• Genus two partition and correlation functions for fermionic vertex operator superalgebras. I.
• Conformal field theory
• The theory of Jacobi forms
• Theta functions, modular invariance, and strings
• \(c=I\) conformal field theories on Riemann surfaces
• Left-right entanglement entropy of D\(p\)-branes
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Modular invariance and entanglement entropy
• Finite temperature entanglement negativity in conformal field theory
• Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
• Entanglement entropy and quantum field theory
• Entanglement entropy of two disjoint intervals in conformal field theory: II
• Bose–Fermi duality and entanglement entropies
• On Rényi entropies of disjoint intervals in conformal field theory
• Towards the entanglement negativity of two disjoint intervals for a one dimensional free fermion
• Spin structures and entanglement of two disjoint intervals in conformal field theories
• Estimation for entanglement negativity of free fermions
• Entanglement entropy and conformal field theory
• Entanglement entropy of two disjoint intervals in conformal field theory

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