2024 : 3 : 28

Jafar Sadeghi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Science
Address:
Phone: 9111125092

Research

Title
Study the Role of R 2 Term in Cosmological AdS-like Space by AdS/CFT Correspondence
Type
JournalPaper
Keywords
AdS/CFT correspondence, Cosmology, Black hole, Gravitation
Year
2021
Journal INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
DOI
Researchers Mehdi Assrary ، Jafar Sadeghi ، Mohamad Elyas Zomorrodian

Abstract

It has been shown that AdS/CFT correspondence may be realized between some AdS-like cosmological space and CFT living on the boundary. By extending such works we studied the role of R2 term in the corrected action to the thermodynamic quantities, particularly by adding a boundary counterterms to the gravitational action and considering an AdS-like cosmological space. With such HD (higher derivative) terms and metric we calculated the free energy, as a function of N2T 4 times 3/2(1−1/N2), that is comparable with perturbative result followed from boundary QFT. In fact the difference between the results obtained from AdS-like cosmological space and the results obtained from strong coupling limit of ℵ = 4 SCFT, by taking into account next to leading term in large N expansion, is just a 3/2 factor. Higher derivative term contributions also appear in entropy and energy via the redefinition of gravitation constant. We explicitly identify higher order counterterms effect in energy as a constant term namely E0. This value can be interpreted as the Casimir energy, so that, there is a full and perfect match between QFT and gravitational action when both R2 term and boundary counterterms are considered. So we can claim that our results have assured us that there is a good fit between AdS-like cosmological space and ℵ = 4 SU(N) super Yang-Mills quantum theory.