Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations

TL;DR

This paper computes the spectra of excitations for brane configurations dual to higher rank Wilson loops in ABJM theory, revealing unique features and organizing the fluctuations into supermultiplets.

Contribution

It provides the first detailed analysis of fluctuation spectra for D2 and D6 branes with electric flux in ABJM, highlighting differences from D3 and D5 branes.

Findings

Spectra include unique mixing terms not seen in D3/D5 cases.

Fluctuations are organized into supermultiplets.

Distinct features identified for D2 and D6 brane configurations.

Abstract

The holographic configurations dual to Wilson loops in higher rank representations in the ABJM theory are described by branes with electric flux along their world volumes. In particular, D2 and D6 branes with electric flux play a central role as potential dual to totally symmetric and totally antisymmetric representations, respectively. We compute the spectra of excitations of these brane configurations in both, the bosonic and fermionic sectors. We highlight a number of aspects that distinguish these configurations from their D3 and D5 cousins including new peculiar mixing terms in the fluctuations. We neatly organize the spectrum of fluctuations into the corresponding supermultiplets.