Paper Key : IRJ************040
Author: Sai Lakshmi Vinay Raja Patnala
Date Published: 05 Oct 2023
Abstract
The Einstein field equations may be solved with a negative cosmic constant () using anti-de-Sitter spacetime. It has various unique properties, including a persistent negative curvature. Like Minkowski spacetime, it is maximally symmetric. Although Minkowski spacetime is flat, AdS spacetime has negative curvature. AdS spacetime has unique global features that are critical for the AdSCFT correspondence. Asymptotically AdS spacetime approaches AdS geometry at spatial infinity (boundary). Many call this boundary the conformal boundary. The Boundary Conformal Symmetry The AdS spacetime border is conformal. This symmetry is essential for the AdSCFT correspondence, which links the bulk gravitational theory (AdS) to the boundary conformal field theory (CFT). This duality is useful in theoretical physics, especially in tightly coupled quantum field theories. AdS spacetime and covering space are distinct. Often called the universal cover, AdS covers. The universal cover "covers" AdS spacetime with a simple linked space. Mathematically helpful but not as physically significant as AdS spacetime. The AdS spacetime is crucial to the AdSCFT connection. knowing the holographic duality between the bulk gravity theory in AdS and the border CFT requires knowing its global characteristics, particularly its asymptotic behavior and conformal symmetry at the boundary. AdS spacetime, a negatively curved spacetime with unique global features, is crucial for the AdSCFT correspondence. Its conformal boundary, conformal symmetry, and asymptotic behavior at infinity enable the duality between gravitational theories in the bulk and boundary conformal field theories, answering some of the most fundamental questions in theoretical physics, such as quantum gravity and strongly coupled field theories.
DOI LINK : 10.56726/IRJMETS45067 https://www.doi.org/10.56726/IRJMETS45067