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<p>We perform folding on the ADHM construction of the instanton moduli space from <i>SU</i> to <i>SO</i> group. A Young diagram description for the <i>SO</i> instanton is obtained after modifying the real and complex moment maps of the ADHM data. We study the Bethe gauge correspondence between type D relativistic Toda lattice and 5d <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25651_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> = 1 folded theory. In particular we prove that the regular monodromy defect in the folded gauge theory is the stationary wavefunction of the type D relativistic Toda lattice.</p>

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Defects and type D relativistic Toda lattice for some 5d gauge theories

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  • 发表日期：

    2025年2月28日

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  • Kimyeong Lee,
  • Norton Lee

摘要

We perform folding on the ADHM construction of the instanton moduli space from SU to SO group. A Young diagram description for the SO instanton is obtained after modifying the real and complex moment maps of the ADHM data. We study the Bethe gauge correspondence between type D relativistic Toda lattice and 5d N \( \mathcal{N} \) = 1 folded theory. In particular we prove that the regular monodromy defect in the folded gauge theory is the stationary wavefunction of the type D relativistic Toda lattice.