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arXiv · 2512.02102

Generalized Schur limit, modular differential equations and quantum monodromy traces

Anirudh Deb
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Abstract

We explore some aspects of the generalized Schur limit, defined in arXiv:2506.13764. Based on several examples, we conjecture that the generalized Schur limit as a function of $\alpha$ solves a modular linear differential equation of fixed order, with coefficients depending on $\alpha$. We also observe in examples that for Argyres-Douglas theories of type $(A_1,G)$ with $G=A_n,D_n$, the generalized Schur limit for certain negative integer values of $\alpha$, coincides with the trace of higher powers of the quantum monodromy operator. This hints at a more general correspondence between the wall-crossing invariant traces on the Coulomb branch and the generalized Schur limit, which is related to the Higgs branch.

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Anirudh Deb. 2025-12-01. Generalized Schur limit, modular differential equations and quantum monodromy traces. https://arxiv.org/abs/2512.02102

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