The Spectrum of Excitations of Holographic Wilson Loops

Abstract

In the holographic framework, a half BPS Wilson loop in $\mathcal{N}=4$ supersymmetric Yang-Mills in the fundamental, symmetric or antisymmetric representation of SU(N), is best described by a fundamental string, a D3 brane or a D5 brane with fluxes in their worldvolumes, respectively. We derive the spectrum of excitations of such D3 brane in $Ad{S}_5\times S^5$ explicitly, considering its action in both the bosonic and the fermionic sectors, and demonstrate that it is organized according to short multiplets of the supergroup $OSp(4^{\ast }|4)$. We also show that the modes of the fundamental string form an ultra-short multiplet of this supergroup. In the case of the D5 brane the bosonic spectrum is only partially known but we argue that it also fills representations of $OSp(4^{\ast }|4)$. This way we provide a step towards a unifying picture for the description of holographic excitations of the circular and straight supersymmetric Wilson loops in arbitrary representations.

28+23 pages, 3 tables, no figures

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• Holographic Wilson Loops
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• On gravitational description of Wilson lines
• Spectroscopy of fermionic operators in AdS/CFT
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Cited by in corpus (21)

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• Wilson loops and minimal area surfaces in hyperbolic space
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• Exact $\mathcal{N}=2^{\ast }$ Schur line defect correlators
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Large $N$ and large representations of Schur line defect correlators
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Symmetric Wilson Loops beyond leading order
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Excitations of bubbling geometries for line defects
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Semiclassical $p$-branes in hyperbolic space
• Interpolating Boundary Conditions on $Ad{S}_2$
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• $\mathcal{N}=4$ line defect correlators of type BCD
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• Holographic mean field theory and Kondo lattice
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory