Abstract
We use flat-space holography to calculate the mutual information and the 3-partite information of a two-dimensional BMS-invariant field theory (BMSFT_2). This theory is the putative holographic dual of the three-dimensional asymptotically flat spacetimes. We find a bound in which entangling transition occurs for zero and finite temperature BMSFTs. We also show that the holographic 3-partite information is always non-positive which indicates that the holographic mutual information is monogamous.
Highlights
The gauge/gravity duality provides a remarkable framework to study key features of the boundary field theory dual to some gravitational theory on the bulk side
In [20] the authors provide a nice holographic description of the BMS-invariant field theory (BMSFT) entanglement entropy. They pointed out that the holographic entanglement entropy is given by the length of a spacelike geodesic γ in the asymptotically flat spacetime which is connected to the null infinity by two null geodesics γ± (Fig. 1)
In this paper, using flat-space holography, we studied the holographic mutual information of a two dimensional BMSFT which is dual to three dimensional asymptotically flat spacetimes
Summary
The gauge/gravity duality provides a remarkable framework to study key features of the boundary field theory dual to some gravitational theory on the bulk side. Subadditivity property of the entanglement entropy gurantees that mutual information is always non-negative [16] Another interesting quantity to consider in this context is the 3-partite information which is defined for three disjoint sub-systems of a field theory and measures the degree of extensivity of the mutual information. In this paper we use the proposal in [20] to calculate holographically the mutual information and the 3-partite information of BMSFT2 We show that these two quantities, have desired properties expected for a field theory with holographic dual. The flat-space limit or, the zero cosmological constant limit, of the gravity theory is performed by taking the infinite radius limit of the asymptotically AdS metric It was proposed in [2,3,4] that the holographic dual of the asymptotically flat spacetimes is a one-dimension lower BMS-invariant field theory (BMSFT). In the rest of this paper we use the above mentioned duality to study the mutual information and 3-partite information of BMSFTs
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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 call
