ELFT HÍRADÓ

[tcsaba <tcsaba AT eik.bme.hu>]

                 M E G H Í V Ó - I N V I T A T I O N

    Seminar Series of the Department of Theoretical Physics at the
           Budapest University of Technology and Economics


                         Péter Lévay
           (Department of Theoretical Physics, Budapest
              University of Technology and Economics)

    Relating boundary entanglement to scattering data of the bulk


According to a recent idea, curved bulk space-time is an emergent entity 
coming from entanglement patterns residing on its boundary. Recently, 
apart from the bulk and its boundary a new space called kinematic space 
has been introduced. Kinematic space, which is just the space of 
geodesics of the bulk, acts as an intermediary that translates between 
the boundary language of quantum information and entanglement, and the 
bulk language of gravity and geometry.

Within the framework of the $ADS_3/CFT_2$ duality we show how scattering 
data of a simple geometric bulk scattering problem can be related to 
boundary entanglement of the CFT vacuum. This connection enables a 
calculation of the Berry curvature living on kinematic space. The 
associated gauge degree of freedom (Berry's Phase) is related to the 
freedom of regularizing the length spectra of the geodesics of the bulk, 
or equivalently introducing different cut-offs for the boundary CFT. The 
Berry curvature turns out to be just the so called Crofton form of 
kinematic space with a coefficient depending on the scattering energy. 
We show how the Berry-Crofton form defines a causal structure on 
kinematic space corresponding to the strong subadditivity structure of 
entanglement entropy for boundary subsystems. We conjecture that 
applying results from Algebraic Scattering Theory our ideas can be 
generalized for more general states corresponding to more general bulk 
geometries and also the general $AdS_{n+1}/CFT_n$ correspondence.


Időpont: 2019. május 3. péntek, 10:15
Helyszín: BME Fizikai Intézet, Elméleti Fizika Tanszék,
Budafoki út 8. F-épület, III lépcsőház, szemináriumi szoba