Holographic Anyons in the ABJM Theory

Details Holographic Anyons in the ABJM Theory Holographic Anyons in the ABJM Theory

2009-10-29

arxiv.org/abs/0910.5536v3

JHEP 1002:059,2010

Physics

High Energy Physics

High Energy Physics - Theory

1+33 pages, 3 figures; v2 discussion for D4-D6 case added, references added; v3 comments added

Scientific paper

10.1007/JHEP02(2010)059

We consider the holographic anyons in the ABJM theory from three different aspects of AdS/CFT correspondence. First, we identify the holographic anyons by using the field equations of supergravity, including the Chern-Simons terms of the probe branes. We find that the composite of Dp-branes wrapped over CP3 with the worldvolume magnetic fields can be the anyons. Next, we discuss the possible candidates of the dual anyonic operators on the CFT side, and find the agreement of their anyonic phases with the supergravity analysis. Finally, we try to construct the brane profile for the holographic anyons by solving the equations of motion and Killing spinor equations for the embedding profile of the wrapped branes. As a by product, we find a BPS spiky brane for the dual baryons in the ABJM theory.

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