One-loop Effective Action of the Holographic Antisymmetric Wilson Loop

Abstract

We systematically study the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Holographically, these operators are described by D5-branes carrying electric flux and wrapping an $S^4\subset S^5$ in the $Ad{S}_5\times S^5$ bulk background. We derive the dynamics of both bosonic and fermionic excitations for such D5-branes. A particularly important configuration in this class is the D5-brane with $Ad{S}_2\times S^4$ worldvolume and $k$ units of electric flux, which is dual to the circular Wilson loop in the totally antisymmetric representation of rank $k$. For this Wilson loop, we obtain the spectrum, show explicitly that it is supersymmetric and calculate the one-loop effective action using heat kernel techniques.

42 pages, one table

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Cited by in corpus (35)

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• A Holographic Model of the Kondo Effect
• Localization and AdS/CFT Correspondence
• Entanglement Entropy in a Holographic Kondo Model
• One-loop Structure of Higher Rank Wilson Loops in AdS/CFT
• Toward precision holography with supersymmetric Wilson loops
• Correlation Function of Circular Wilson Loops at Strong Coupling
• Holographic impurities and Kondo effect
• Holographic Kondo Model in Various Dimensions
• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• 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
• Holographic Wilson Loops in Symmetric Representations in N = 2* Super-Yang-Mills Theory
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Semiclassical Quantization of the Superstring and Hagedorn Temperature
• Higher Rank ABJM Wilson Loops from Matrix Models
• Excitations of bubbling geometries for line defects
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• On the Hagedorn Temperature in Holographic Confining Gauge Theories
• Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories
• Semiclassical $p$-branes in hyperbolic space
• Quantum corrections to minimal surfaces with mixed three-form flux
• Holographic k-string Tensions in Higher Representations and Luescher Term Universality
• Wilson loops in $\mathcal{N}=4$ $SO(N)$ SYM and D-Branes in $Ad{S}_5\times {\mathbb{RP}}^5$
• $\mathcal{N}=4$ line defect correlators of type BCD
• Remarks on the geometrical properties of semiclassically quantized strings
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• A Holographic Two-Impurity Kondo Model
• Holographic mean field theory and Kondo lattice
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops