Unit:
Κατεύθυνση Πυρηνική Φυσική και Φυσική Στοιχειωδών ΣωματιδίωνLibrary of the School of Science
Author:
Kouniatalis Gerasimos
Supervisors info:
Ιωάννης Παπαδημητρίου, Επίκ. Καθηγητής, Τμήμα Φυσικής ΕΚΠΑ
Original Title:
Weyl Geometries and Holographic Renormalization in AlAdS manifolds
Translated title:
Weyl Geometries and Holographic Renormalization in AlAdS manifolds
Summary:
Weyl geometry is a generalization of Riemannian geometry such that the geometric description of our space is covariant not just under general coordinate transformations but also local scale transformations. In this context we apply the method of Holographic Renormalization in asymptotically locally Anti-de Sitter (AlAdS) manifolds. Our motivation is that Weyl geometry, by construction, is ideal for the study of AlAdS manifolds and Conformal Field Theories (CFTs) which are connected through AdS/CFT correspondence.
Additionally, we investigate the impact of Weyl geometry on cosmology. This exploration is conducted in such a manner that our findings do not contradict Standard Cosmology but rather present the latter as a specific gauge of Weyl cosmology.
Main subject category:
Science
Keywords:
General Theory of Relativity, Weyl Geometries, Holographic Renormalization, AlAdS manifolds
