Universal features of left-right entanglement entropy
Abstract
We show the presence of universal features in the entanglement entropy of regularized boundary states for (1+1)-d conformal field theories on a circle when the reduced density matrix is obtained by tracing over right/left-moving modes. We derive a general formula for the left-right entanglement entropy in terms of the central charge and the modular S matrix of the theory. When the state is chosen to be an Ishibashi state, this measure of entanglement is shown to reproduce the spatial entanglement entropy of a (2+1)-d topological quantum field theory. We explicitly evaluate the left-right entanglement entropies for the Ising model, the tricritical Ising model and the su(2)_k WZW model as examples.
Cite
@article{arxiv.1504.02475,
title = {Universal features of left-right entanglement entropy},
author = {Diptarka Das and Shouvik Datta},
journal= {arXiv preprint arXiv:1504.02475},
year = {2015}
}
Comments
6 pages, 1 figure. Published version with few references added