Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM

Abstract

We construct the D3-brane dual to a $k$-quark of $\mathcal{N}=4$ super-Yang-Mills theory in the totally symmetric representation of $SU(N)$, undergoing arbitrary motion. Our method of construction generalizes previous work by Mikhailov, and proceeds by shooting light rays inward from the anti-de Sitter boundary, to trace out the brane embedding. We expect this method to have wider relevance, and provide evidence for this by showing that it correctly reproduces the known D5-brane embeddings dual to totally antisymmetric $k$-quarks. As an application of our solutions, we compute the energy of the D3-brane and extract from it the $k$-quark's intrinsic energy and rate of radiation. The result matches expectations based on previous calculations, and makes contact with the exact Bremsstrahlung function for the fundamental representation.

1+28 pages, 3 figures. v2: references added

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Cited by in corpus (14)

• Holographic Schwinger effect in de Sitter space
• Localization and AdS/CFT Correspondence
• Holographic Wilson Loops in Symmetric Representations in N = 2* Super-Yang-Mills Theory
• Emitted Radiation and Geometry
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Cusped Wilson lines in symmetric representations
• Worldsheet traversable wormholes
• Higher Rank Wilson Loops in N = 2* Super-Yang-Mills Theory
• On scalar radiation
• Cusp Anomalous dimension and rotating open strings in AdS/CFT
• String worldsheet for accelerating quark
• Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3
• Conformal Transformations, Rotating String and Effects of angular velocity on Accelerating Quark-Antiquark pair in $Ad{S}_3$
• Relativistic membrane solutions in AdS${}_4$