Analysis of the Entanglement with Centers

Abstract

We begin from the quantization algebras and constraint for analyzing the choice of centers in the first-order formulation without losing generality. Then we calculate the entanglement entropy in the non-interacting $p$-form theory in $2p+2$ dimensional Euclidean flat background with an $S^{2p}$ entangling surface. The universal term of the entanglement entropy in the non-interacting $p$-form theory is determined in terms of the universal terms of the non-interacting zero-form theory. We also prove the strong subadditivity in the non-interacting theory with the non-trivial centers. Finally, we calculate the mutual information with centers in two-dimensional conformal field theory. The result shows that the mutual information is independent of the choice of centers.

49 pages, 1 figure, minor changes, references added

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• Towards a derivation of holographic entanglement entropy
• Symmetry-resolved entanglement in many-body systems
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• Numerical study of entanglement entropy in SU(2) lattice gauge theory
• Physics at the entangling surface
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Cited by in corpus (4)

• Electromagnetic Duality and Entanglement Anomalies
• Gauge choices and Entanglement Entropy of two dimensional lattice gauge fields
• Discussion of Entanglement Entropy in Quantum Gravity
• Theoretical Properties of Entropy in a Strong Coupling Region