Large N limit and Instanton effects in the AdS/CFT correspondence
Year: 1998
Type: preprint
Abstract: We show that the effect of adding D-instanton to the $AdS_5 \\times S^5$ background is to make the geometry flat in the string frame. By considering the isometry group, quark-antiquark potential and mass gap, we show that the instanton correction ruins the AdS/CFT correspondence in string frame while there is no effect in the Einstein frame. That is, if we explicitly include the instanton effect by working in the string frame, the duality does not hold, while if we work on the Einstein frame, including the D-instanton does not change the metric, hence we cannot see the effect of the instanton at all. This is consistent with known wisdom that one cannot see the large $N$ and the instanton effect at the same time.
Source: arXiv (Cornell University)
Authors: Chanyong Park, Sang-Jin Sin
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2564650919