Spectra of certain holographic ABJM Wilson loops in higher rank representations

Abstract

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

Antisymmetric Wilson loops in N $$ \mathcal{N} $$ = 4 SYM beyond the planar limit

“…On the gravity side some of the corresponding probes have been studied in eg. [19,21,38,39]. The problem of 1-loop matching remains open in all these cases.…”

Functional determinants of radial operators in AdS2

“…Given that the worldvolume of these configurations are AdS 2 × S 2 and AdS 2 × S 4 , the oneloop effective actions reduce also to determinants on AdS 2 [6][7][8]. A similar class of one-loop effective action appears also in the context of ABJM [9]. In the context of localization of supersymmetric field theories there have been some natural appearances of AdS 2 [10][11][12][13].…”

Toward precision holography in type IIA with Wilson loops

“…Classical results were presented in [15,16]; at the quantum level some preliminary results have been presented in [37] for the gravity configurations and a sub-leading analysis of the matrix model was presented in [38]. The prospects for precision holography in this case are improved due to the fact that the corresponding quadratic fluctuations live in the odd-dimensional world-volumes of the corresponding D2 and D6 branes [37]. Heat kernel techniques are considerably simplified in odd-dimensional spaces since the contributions arise exclusively from zero or boundary modes.…”