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 S2p 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.