
TL;DR
This paper investigates the theoretical construction of Anti de Sitter vacua in string theory, revealing fundamental limitations on their properties and implications for realistic cosmological models.
Contribution
It constructs brane configurations sourcing AdS flux compactifications and establishes bounds on cosmological constants from dual CFT central charges.
Findings
Bounds on cosmological constants incompatible with scale separation
Constructed specific brane configurations for AdS vacua
Identified UV AdS geometries sourced by branes
Abstract
Flux compactifications that give three- or four-dimensional Anti de Sitter vacua with a parametrically small negative cosmological constant are claimed to be ubiquitous in String Theory. However, the 1+1 and 2+1 dimensional CFT duals to such vacua should have very large central charges and rather unusual properties. We construct brane configurations that source these would-be AdS flux compactifications, and identify certain UV AdS geometries that these branes source. The central charge of the CFT duals to these UV AdS geometries place lower bounds on the absolute values of the cosmological constants of the AdS vacua. These bounds are incompatible with the scale separation needed to construct realistic cosmological models.
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