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

TL;DR

This paper explores how strings and membranes in AdS spaces exhibit long-range phase interactions, revealing new Aharonov-Bohm effects in the dual field theories related to these extended objects.

Contribution

It demonstrates the existence of novel long-range phase interactions and Aharonov-Bohm effects for strings and membranes in AdS spaces, linking them to dual field theory phenomena.

Findings

Membranes in AdS_7 x S^4 acquire phases of 2π/N when moved around each other.

Strings in AdS_5 x S^5 exhibit similar phase interactions.

Identifies both standard and new Aharonov-Bohm effects in the dual field theories.

Abstract

It is observed that strings in AdS_5 x S^5 and membranes in AdS_7 x S^4 exhibit long range phase interactions. Two well separated membranes dragged around one another in AdS acquire phases of 2\pi/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.