Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-16
Soryushiron kenkyu 103 (2001) 6-84
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 79 pages, typos corrected and references added
Scientific paper
AdS/CFT duality is a conjectured dual correspondence between the large $N$ limit of Conformal Field Theory (CFT) in $d$-dimensions and the supergravity (SUGRA) in $d+1$-dimensional Anti de Sitter (AdS) space. By using this conjecture, we can study various properties of large $N$ CFT by simple calculations in SUGRA. Recently much attention has been paid to the Renormalization Group (RG) flow viewed from the SUGRA side. Such RG flow in CFT is known to be characterized by the c-function which connects CFTs with different central charges. Therefore, we are interested in deriving this c-function from SUGRA with the help of AdS/CFT correspondence. To derive the c-function, we calculate the conformal anomaly (CA) in SUGRA, since it is closely related to the central charge. In this thesis, we discuss the various aspects of CA from AdS/CFT duality, especially for the cases of SUGRA in 3 and 5-dimensions which correspond to 2 and 4-dimensional CFTs, respectively. It is known that the bosonic part of SUGRA with scalar (dilaton) and arbitrary scalar potential describes the special RG flows in dual quantum field theory. So we calculate dilaton-dependent CA from dilatonic gravity with arbitrary potential. After that, we propose candidates of c-functions from such dilatonic gravity and investigate the properties of them.
No associations
LandOfFree
Conformal Anomaly via AdS/CFT Duality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conformal Anomaly via AdS/CFT Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal Anomaly via AdS/CFT Duality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-426754