https://doi.org/10.1140/epjc/s10052-019-6693-8
Regular Article - Theoretical Physics
Holographic entanglement negativity for disjoint intervals in
1
Indian Institute of Science Education and Research, Homi Bhabha Rd, Pashan, Pune, 411 008, India
2
Department of Physics, Indian Institute of Technology, Kanpur, 208 016, India
* e-mail: sengupta@iitk.ac.in
Received:
27
January
2019
Accepted:
17
February
2019
Published online:
4
March
2019
We advance a holographic construction for the entanglement negativity of bipartite mixed state configurations of two disjoint intervals in dimensional conformal field theories () through the correspondence. Our construction constitutes the large central charge analysis of the entanglement negativity for mixed states under consideration and involves a specific algebraic sum of bulk space like geodesics anchored on appropriate intervals in the dual . The construction is utilized to compute the holographic entanglement negativity for such mixed states in s dual to bulk pure geometries and BTZ black holes respectively. Our analysis exactly reproduces the universal features of corresponding replica technique results in the large central charge limit which serves as a consistency check.
© The Author(s), 2019