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<p>We present a DSSYK-like interpretation of the Schur half-indices of 𝒩 = 2 SU(2) gauge theories with matter, in the presence of fundamental Wilson lines. The Schur half-indices of these theories can be understood as transition amplitudes in a non-vacuum sector of ordinary DSSYK. In the language of chord diagrams, the half-indices are obtained by summing over diagrams with special segments, which correspond to coherent states of the <i>q</i>-oscillator algebra. In addition, we show that the Schur half-index of SU(2) gauge theory with <i>n</i><sub><i>F</i></sub> = 4 fundamental half-hypermultiplets corresponds to the partition function of a particle on the quantum disk.</p>

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  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月3日

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  • Micha Berkooz,
  • Trivko Kukolj,
  • Josef Seitz

摘要

We present a DSSYK-like interpretation of the Schur half-indices of 𝒩 = 2 SU(2) gauge theories with matter, in the presence of fundamental Wilson lines. The Schur half-indices of these theories can be understood as transition amplitudes in a non-vacuum sector of ordinary DSSYK. In the language of chord diagrams, the half-indices are obtained by summing over diagrams with special segments, which correspond to coherent states of the q-oscillator algebra. In addition, we show that the Schur half-index of SU(2) gauge theory with nF = 4 fundamental half-hypermultiplets corresponds to the partition function of a particle on the quantum disk.