• Open Access

Entanglement of Two Disjoint Intervals in Conformal Field Theory and the 2D Coulomb Gas on a Lattice

Tamara Grava, Andrew P. Kels, and Erik Tonni
Phys. Rev. Lett. 127, 141605 – Published 30 September 2021

Abstract

In the conformal field theories given by the Ising and Dirac models, when the system is in the ground state, the moments of the reduced density matrix of two disjoint intervals and of its partial transpose have been written as partition functions on higher genus Riemann surfaces with Zn symmetry. We show that these partition functions can be expressed as the grand canonical partition functions of the two-dimensional two component classical Coulomb gas on certain circular lattices at specific values of the coupling constant.

  • Figure
  • Received 4 May 2021
  • Revised 26 June 2021
  • Accepted 11 August 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.141605

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Tamara Grava1,2, Andrew P. Kels1, and Erik Tonni1,3

  • 1SISSA, via Bonomea 265, 34136 Trieste, Italy
  • 2School of Mathematics, University of Bristol, Fry Building, Bristol BS8 1UG, United Kingdom
  • 3INFN, Sezione di Trieste, via Valerio 2, 34127 Trieste, Italy

Article Text

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Issue

Vol. 127, Iss. 14 — 1 October 2021

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