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<p>We derive an exact residue formula for the elliptic genera of 2d <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = (0, 1) gauge theories. We find a new residue prescription which recovers the Jeffery-Kirwan residue prescription for <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = (0, 2) theories. We apply the formula to the Gukov-Pei-Putrov model and analyze the phase structure of the theory.</p>

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Elliptic genera of 2d \( \mathcal{N} \) = (0, 1) gauge theories

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月10日

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  • Jiakang Bao,
  • Masahito Yamazaki,
  • Dongao Zhou

摘要

We derive an exact residue formula for the elliptic genera of 2d N \( \mathcal{N} \) = (0, 1) gauge theories. We find a new residue prescription which recovers the Jeffery-Kirwan residue prescription for N \( \mathcal{N} \) = (0, 2) theories. We apply the formula to the Gukov-Pei-Putrov model and analyze the phase structure of the theory.