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<p>We describe families of probe D<i>q</i>-brane embeddings in the extremal black D<i>p</i>-brane backgrounds of type IIA and type IIB supergravity, specified by an arbitrary holomorphic function of a complex coordinate on the worldvolume of the D<i>q</i>-branes. These embeddings preserve one-quarter of the supersymmetry of the D<i>p</i>-brane background, or sometimes one-half of the supersymmetry when <i>p</i> = <i>q</i>. We discuss the holography of two example families of holomorphic probe branes in the near-horizon limit of the D3-brane background. The first is probe D5-branes, dual to defect hypermultiplets with a holomorphic mass, which in the infrared flow to Wilson lines located at the zeros of the mass. The second is probe D3-branes, holographically dual to states in the presence of Gukov-Witten surface defects in the dual <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 supersymmetric Yang-Mills theory.</p>

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Holomorphic D-brane embeddings in D-brane backgrounds

  • 期刊论文

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  • 发表日期：

    2026年6月15日

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  • James Ratcliffe,
  • Ronnie Rodgers,
  • Sangsoo Ryu

摘要

We describe families of probe Dq-brane embeddings in the extremal black Dp-brane backgrounds of type IIA and type IIB supergravity, specified by an arbitrary holomorphic function of a complex coordinate on the worldvolume of the Dq-branes. These embeddings preserve one-quarter of the supersymmetry of the Dp-brane background, or sometimes one-half of the supersymmetry when p = q. We discuss the holography of two example families of holomorphic probe branes in the near-horizon limit of the D3-brane background. The first is probe D5-branes, dual to defect hypermultiplets with a holomorphic mass, which in the infrared flow to Wilson lines located at the zeros of the mass. The second is probe D3-branes, holographically dual to states in the presence of Gukov-Witten surface defects in the dual N \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory.