Chronology Protection in anti-de Sitter

Abstract

We consider 1/2 BPS excitations of AdS(5)xS(5) geometries in type IIB string theory that can be mapped into free fermion configurations according to the prescription of Lin, Lunin and Maldacena (LLM). It is shown that whenever the fermionic probability density exceeds one or is negative, closed timelike curves appear in the bulk. A violation of the Pauli exclusion principle in the phase space of the fermions is thus intimately related to causality violation in the dual geometries.

4 pages, 1 figure. v2: clarifications on the proof and comments on curvature singularity added. v3: final version to appear in Class. Quantum Grav

References in corpus (2)

• Bubbling AdS space and 1/2 BPS geometries
• Giant gravitons in AdS/CFT (I): matrix model and back reaction

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