Holographic entanglement negativity for conformal field theories with a conserved charge

Parul Jain; Vinay Malvimat; Sayid Mondal; Gautam Sengupta

doi:10.1140/epjc/s10052-018-6383-y

EPJ

Holographic entanglement negativity for conformal field theories with a conserved charge

Parul Jain¹^,2, Vinay Malvimat³, Sayid Mondal³ and Gautam Sengupta³^*

¹ Dipartimento di Fisica, Università di Cagliari Cittadella Universitaria, 09042, Monserrato, Italy
² INFN, Sezione di Cagliari, Cagliari, Italy
³ Department of Physics, Indian Institute of Technology Kanpur, Kalyanpur, 208016, India

Received: 5 August 2018
Accepted: 29 October 2018
Published online: 9 November 2018

Abstract

We study the application of our recent holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with a conserved charge. In this context we obtain the holographic entanglement negativity for zero and finite temperature mixed state configurations in d-dimensional conformal field theories dual to bulk extremal and non extremal charged

black holes. Our results conform to quantum information theory expectations and constitute significant consistency checks for our conjecture.