TL;DR
This paper explores how the AdS/CFT correspondence can be used to understand black hole complementarity, demonstrating that bulk causality and quasi-local observables can be derived from boundary analyticity even with symmetry-breaking backgrounds.
Contribution
It introduces a simplified AdS/CFT model with integer conformal dimensions to analyze bulk causality and construct quasi-local observables, clarifying the regime of effective field theory validity.
Findings
Bulk causality follows from boundary analyticity.
Finite central charge corrections impact correlator estimates.
Results support black hole complementarity.
Abstract
We study a simple version of the AdS/CFT (anti-de Sitter spacetime/Conformal Field Theory) correspondence, where operators have integer conformal dimensions. In this model, bulk causality follows from boundary analyticity, even in nontrivial black hole backgrounds that break the underlying conformal symmetry. This allows a natural set of quasi-local bulk observables to be constructed. Estimates of finite central charge corrections to semiclassical correlators are made. These corrections are used to determine the regime of validity of effective field theory in the bulk spacetime. The results are consistent with black hole complementarity.
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