Slicing and Brane Dependence of the (A)dS/CFT Correspondence

TL;DR

This paper explores how the (A)dS/CFT correspondence's conserved quantities, like Casimir energy, depend on the spacetime slicing and brane placement, highlighting the importance of foliation choices.

Contribution

It demonstrates the slicing dependence of conserved quantities and brane placement in the (A)dS/CFT framework, emphasizing the role of spacetime topology and geometry.

Findings

Casimir energy varies with spacetime foliation

Brane location determination depends on slicing

Slicing dependence impacts AdS/CFT interpretations

Abstract

We investigate the slicing dependence of the relationship between conserved quantities in the (A)dS/CFT correspondence. Specifically, we show that the Casimir energy depends upon the topology and geometry of spacetime foliations of the bulk near the conformal boundary. We point out that the determination of the brane location in brane-world scenarios exhibits a similar slicing dependence, and we comment on this in the context of the AdS/CFT correspondence conjecture.