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<p>We derive one-point functions in 4d <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26302_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 SYM with <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26302_Article_IEq2.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </math></EquationSource> <EquationSource Format="TEX">\( \frac{1}{2} \)</EquationSource> </InlineEquation>-BPS boundaries, defects and interfaces which host large numbers of defect degrees of freedom. The theories are engineered by Gaiotto-Witten D3/D5/NS5 brane setups with large numbers of D5 and NS5 branes, and have holographic duals with fully backreacted 5-branes. They include BCFTs with 3d SCFTs on the boundary which allow for the notion of double holography, as well as D3/D5 defects and interfaces with large numbers of D5-branes. Through a combination of supersymmetric localization and holography we derive one-point functions for 4d chiral primary operators.</p>

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One-point functions for doubly-holographic BCFTs and backreacting defects

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月28日

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  • Dongming He,
  • Christoph F. Uhlemann

摘要

We derive one-point functions in 4d N \( \mathcal{N} \) = 4 SYM with 1 2 \( \frac{1}{2} \) -BPS boundaries, defects and interfaces which host large numbers of defect degrees of freedom. The theories are engineered by Gaiotto-Witten D3/D5/NS5 brane setups with large numbers of D5 and NS5 branes, and have holographic duals with fully backreacted 5-branes. They include BCFTs with 3d SCFTs on the boundary which allow for the notion of double holography, as well as D3/D5 defects and interfaces with large numbers of D5-branes. Through a combination of supersymmetric localization and holography we derive one-point functions for 4d chiral primary operators.