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<p>It has been proposed that the superconformal index admits a novel reformulation, called giant graviton expansion. In this paper, we investigate the properties of dual <i>AdS</i><sub>5</sub> black holes using the giant graviton expansion framework. First, we compute the entropy of black holes in <i>AdS</i><sub>5</sub> × <i>S</i><sup>5</sup> with fixed charges through a large <i>N</i> saddle point analysis on the ‘giant graviton index’. In addition, we show that the giant graviton expansion of the index provides a natural way to understand how small black holes in AdS can be viewed as bound states of branes. We extend our study to include the giant graviton expansion with the insertion of a half-BPS surface defect in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25993_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 a U(<i>N</i>) gauge group. Finally, we test the giant graviton expansion in various holographic theories whose dual geometries are <i>AdS</i><sub>5</sub> × <i>S</i><sup>5</sup>/<i>ℤ</i><sub><i>k</i></sub> and <i>AdS</i><sub>5</sub> × <i>SE</i><sub>5</sub>.</p>

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Holographic tests for giant graviton expansion

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  • 发表日期：

    2025年4月16日

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  • Seunggyu Kim,
  • Eunwoo Lee

摘要

It has been proposed that the superconformal index admits a novel reformulation, called giant graviton expansion. In this paper, we investigate the properties of dual AdS5 black holes using the giant graviton expansion framework. First, we compute the entropy of black holes in AdS5 × S5 with fixed charges through a large N saddle point analysis on the ‘giant graviton index’. In addition, we show that the giant graviton expansion of the index provides a natural way to understand how small black holes in AdS can be viewed as bound states of branes. We extend our study to include the giant graviton expansion with the insertion of a half-BPS surface defect in N \( \mathcal{N} \) = 4 SYM with a U(N) gauge group. Finally, we test the giant graviton expansion in various holographic theories whose dual geometries are AdS5 × S5/ℤk and AdS5 × SE5.