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<p>Wilson line operators in the rank <i>k</i> totally symmetric tensor representation of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal{N}=4 \text{U}(N)\)</EquationSource> </InlineEquation> sypersymmetric Yang-Mills theories are expected to be realized as D3-branes expanded in <i>AdS</i><sub>5</sub>. Although there is a mismatch between the corresponding line operator indices even in the large <i>N</i> and large <i>k</i> limit, it is possible to calculate the finite <i>k</i> correction on the AdS side as the contribution from D1-branes. We analyze D1-brane fluctuation modes and calculate the leading finite <i>k</i> correction to the line operator index on the AdS side.</p>

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D1-brane correction to a line operator index

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月4日

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  • Yosuke Imamura,
  • Akihiro Sei

摘要

Wilson line operators in the rank k totally symmetric tensor representation of \(\mathcal{N}=4 \text{U}(N)\) sypersymmetric Yang-Mills theories are expected to be realized as D3-branes expanded in AdS5. Although there is a mismatch between the corresponding line operator indices even in the large N and large k limit, it is possible to calculate the finite k correction on the AdS side as the contribution from D1-branes. We analyze D1-brane fluctuation modes and calculate the leading finite k correction to the line operator index on the AdS side.