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

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 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.

arXiv comment1+13 pages. 3 figures

References in corpus (5)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Probes of Anti-de Sitter Spacetimes
• Propagators for massive symmetric tensor and p-forms in AdS(d+1)
• The propagator for a general form field in $Ad{S}_{d+1}$
• Propagators for p-forms in AdS_{2p+1} and correlation functions in the AdS_7/(2,0) CFT correspondence

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• A gauge theory generalization of the fermion-doubling theorem
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• The Geometric Phase and Gravitational Precession of D-Branes
• ABJM Baryon Stability and Myers effect
• Holographic Anyons in the ABJM Theory
• Spin-Statistics Violations in Superstring Theory
• Bulk-boundary correspondence between charged, anyonic strings and vortices
• Optical and spin-optical superpositions modulated by Aharonov-Bohm effect
• Charged Particle-like Branes in ABJM: A Summary