Abstract
We advance holographic constructions for the entanglement negativity of bipartite states in a class of (1+1)-dimensional Galilean conformal field theories dual to asymptotically flat three dimensional bulk geometries described by Einstein Gravity and Topologically Massive Gravity. The construction involves specific algebraic sums of the lengths of bulk extremal curves homologous to certain combinations of the intervals appropriate to such bipartite states. Our analysis exactly reproduces the corresponding replica technique results in the large central charge limit. We substantiate our construction through a semi classical analysis involving the geometric monodromy technique for the case of two disjoint intervals in such holographic Galilean conformal field theories.
Highlights
In this context we establish holographic constructions to compute the entanglement negativity of bipartite states in GCFT1+1s dual to bulk asymptotically flat (2 + 1) dimensional Einstein Gravity and Topologically Massive Gravity (TMG) [59, 60, 63–66], following the corresponding constructions for relativistic CFT 1+1s described in [20, 21, 55]
The entanglement entropy of a bipartite state described by a single interval in the BMS3/GCA2 field theory located at the null infinity of the dual asymptotically flat bulk geometry will be given by the length of a bulk extremal geodesic homologous to the interval
It is interesting to note that using the flat space analogue of the HRT formula (26), the expression for the holographic entanglement negativity for a single interval in a GCFT1+1 at a finite temperature obtained in eq (58) can be rewritten in the following form
Summary
In recent years quantum entanglement has emerged as a fundamental issue connecting diverse areas of physics from many-body condensed matter systems to black holes and quantum gravity. In this article we address this issue through the BMS3/GCA2 correspondence [58–60] In this context we establish holographic constructions to compute the entanglement negativity of bipartite states in GCFT1+1s dual to bulk asymptotically flat (2 + 1) dimensional Einstein Gravity and Topologically Massive Gravity (TMG) [59, 60, 63–66], following the corresponding constructions for relativistic CFT 1+1s described in [20, 21, 55].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
