Geometric aspects of the AdS/CFT correspondence
Michael T. Anderson
TL;DR
This paper explores the geometric and mathematical foundations of the AdS/CFT correspondence, focusing on classical gravity aspects and the semi-classical limit of the gravitational partition function.
Contribution
It provides a survey of recent progress, introduces new results, and discusses open problems in understanding the geometric aspects of AdS/CFT.
Findings
Clarified the classical gravitational structures in AdS/CFT
Presented new mathematical results on the semi-classical limit
Outlined open problems for future research
Abstract
We discuss classical gravitational aspects of the AdS/CFT correspondence, with the aim of obtaining a rigorous (mathematical) understanding of the semi-classical limit of the gravitational partition function. The paper surveys recent progress in the area, together with a selection of new results and open problems.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Nonlinear Waves and Solitons