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arXiv · 2507.12524

Comments on Class S(YK)

Micha Berkooz·Trivko Kukolj·Josef Seitz
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Abstract

We present a DSSYK-like interpretation of the Schur half-indices of $\mathcal{N}=2$ $SU(2)$ 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 $n_F=4$ fundamental half-hypermultiplets corresponds to the partition function of a particle on the quantum disk.

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Micha Berkooz, Trivko Kukolj, Josef Seitz. 2025-07-16. Comments on Class S(YK). https://doi.org/10.1007/jhep02(2026)037

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