Anyonic strings and membranes in AdS space and dual Aharonov-Bohm effects

Abstract

It is observed that strings in AdS5 x S5 and membranes in AdS7 x S4 exhibit long range phase interactions. Two well separated membranes dragged around one another in AdS acquire phases of 2π/N. The same phases are acquired by a well separated F and D string dragged around one another. The phases are shown to correspond to both the standard and a novel type of Aharonov-Bohm effect in the dual field theory.

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