Universal Features of Left-Right Entanglement Entropy

Diptarka Das and Shouvik Datta
Phys. Rev. Lett. 115, 131602 – Published 22 September 2015

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- or 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 precisely 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 Wess-Zumino-Witten model as examples.

  • Figure
  • Received 27 April 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.131602

© 2015 American Physical Society

Authors & Affiliations

Diptarka Das1,* and Shouvik Datta2,†

  • 1Department of Physics, University of California at San Diego, La Jolla, California 92093, USA
  • 2Centre for High Energy Physics, Indian Institute of Science, C. V. Raman Avenue, Bangalore 560012, India

  • *diptarka@physics.ucsd.edu
  • shouvik@cts.iisc.ernet.in

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Vol. 115, Iss. 13 — 25 September 2015

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