Fermionic impurities in the unquenched ABJM

TL;DR

This paper investigates the impact of fermionic impurities in unquenched ABJM theory using holography, revealing how impurity effects influence operator dimensions through probe D6-brane embeddings and fluctuations.

Contribution

It introduces a holographic model for fermionic impurities in unquenched ABJM and analyzes their effects on operator dimensions via D6-brane fluctuations.

Findings

Operator dimensions depend on flavor to Chern-Simons level ratio.

D6-brane fluctuations reveal non-trivial impurity effects.

Probe brane embeddings characterize impurity configurations.

Abstract

We study, in a holographic setup, the effect of adding localized fermionic impurities to the three-dimensional Chern-Simons-matter theories with unquenched fields in the fundamental representation of the gauge group. The impurities are introduced as probe D6-branes extending along the radial direction and wrapping a five-dimensional submanifold inside a squashed CP^3. We analyze the straight flux tube embeddings and study the corresponding fluctuation modes of the D6-branes. The conformal dimensions of the operators dual to such fluctuations depend non-trivially on the ratio of the flavor number to the Chern-Simon level of the unquenched ABJM.