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arXiv 1410.0692hep-thgr-qc
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来自光的膜:对称$k$ -夸克在$\mathcal{N}=4$ SYM中的嵌入和能量学

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

Bartomeu Fiol, Alberto Guijosa, Juan F. Pedraza

摘要:

在$SU(N)$的全对称表示中,构造了$\mathcal{N}=4$超杨-米尔斯理论中$k$ -夸克的D3-膜对偶,并进行了任意运动.我们的构造方法推广了米哈伊洛夫以前的工作,并通过从反德西特边界向内发射光线来追踪膜嵌入。我们希望这种方法有更广泛的相关性,并提供证据,这表明,它正确地再现了已知的D5膜嵌入对偶完全反对称$k$ -夸克。作为我们解的一个应用,我们计算了D3-膜的能量,并从中提取了$k$ -夸克的内禀能量和辐射率。结果与基于先前计算的预期相匹配,并与基本表示的精确韧致辐射函数相联系。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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