ELFT HÍRADÓ

[somogyi <somogyi.gabor AT wigner.hun-ren.hu>]

Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


             Boldis Bercel
             (HUN-REN Wigner FK)


"Segmented strings and holography”


címmel tartandó szemináriumára.


Kivonat:



Fundamental interactions of nature are described by quantum gauge 
theories. The only exception is gravity, since its microscopic theory is 
not known yet. However quantum gravity would be significant to describe 
several fundamental phenomena, for example the thermodynamics of black 
holes. Several different theories have emerged to solve this problem, 
for example ones which propose that the fabric of spacetime is held 
together by the entanglement of certain quantum states. A breakthrough 
in the quantum mechanical description of gravity is provided by the 
AdS/CFT correspondence, which, in its original form, establishes a 
connection between quantum strings moving on a anti-de Sitter background 
and a dual, gravity-free conformal field theory living on the boundary 
of the AdS space.
Since its original formulation, the AdS/CFT duality has appeared in 
various contexts. One exceptional result is the so-called Ryu-Takayanagi 
relation, which states that the area of minimal surfaces in 
any-dimensional asymptotically anti-de Sitter space is proportional to 
the entanglement entropies of corresponding regions in the conformal 
field theory living on the one-dimension-lower boundary of the space. 
The RT relation uses the tools of the AdS/CFT correspondence to relate 
geometry and entanglement.
In our research we have reached back to the original statement of the 
AdS/CFT correspondence and used the RT formula to relate the geometry of 
AdS strings to boundary entanglement. We have investigated a special 
approximation of string worldsheets and given a precise way to uniquely 
project them to the boundary. Using the RT formula we were able to show 
that their area is proportional to a special combination of the 
entanglement entropies of certain CFT boundary subsystems in vacuum 
state.
In my presentation I am going to give a brief intorduction to the 
entanglement context of the AdS/CFT correspondence and summarize our 
recent results about segmented strings and holography.



Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2024 április 12. péntek d.u. 2 óra

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                        Somogyi Gábor