Unit:
Κατεύθυνση Πυρηνική Φυσική και Φυσική Στοιχειωδών ΣωματιδίωνLibrary of the School of Science
Supervisors info:
Φλωράτος Εμμανουήλ, Ομότιμος Καθηγητής, Τμήμα Φυσικής, Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Original Title:
The AdS/CFT Correspondence
Translated title:
The AdS/CFT Correspondence
Summary:
The AdS/CFT correspondence is the conjecture of an equivalence relation between two seemingly different theories, quantum Gravity (IIB supergravity) in
an Anti-de-Sitter (AdS) spacetime and a non gravitational Conformal Field
theory (CFT), N = 4 SYM, on the boundary of the latter spacetime. In the
correspondence, that was initially formulated by J.Maldacena (1998), the couplings of the two theories have an inverse relation, i.e. a CFT with a strong
coupling is dual to a quantum Gravity theory with a weak coupling. Due to
this strong/weak duality, the correspondence has been a center of attention since
it provides great computational tools for both theories in the duality. One of
them is the computation of the Entanglement Entropy in CFT, which through
the correspondence translates to a geometrical problem, according to the RyuTakayanagi conjecture. This thesis is restricted to the part of the correspondence that includes a strongly coupled CFT, which is dual to a weakly coupled
quantum Gravity in AdS, and is constituted by two parts. In the first part we
present the basic aspects of the correspondence and study its application to the
computation of correlation functions in the CFT through Gravity, while in the
second part, we apply the Ryu-Takayanagi conjecture at the computation of the
Entanglement Entropy in the special case of a CFT on a hyperspherical region
of the AdS boundary.
Main subject category:
Science
Keywords:
Gauge/Gravity duality, AdS/CFT correspondence, Holography, Conformal Field Theory, Anti-de-Sitter, Entanglement Entropy, Holographic Entropy, Large N limit, Yang-Mills Theory
