Holographic Anyons in the ABJM Theory

TL;DR

This paper explores holographic anyons in the ABJM theory through supergravity equations, dual CFT operators, and brane profiles, revealing new insights into their properties and a BPS brane configuration.

Contribution

It identifies holographic anyons via supergravity and Chern-Simons terms, proposes dual operators, and constructs brane profiles, including a BPS baryon brane in ABJM theory.

Findings

Holographic anyons are composite Dp-branes with magnetic fields.

Matching of anyonic phases between supergravity and CFT.

Discovery of a BPS spiky brane for baryons.

Abstract

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.