Generalized Schur limit, modular differential equations and quantum monodromy traces
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918352376561664 |
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| author | Deb, Anirudh |
| author_facet | Deb, Anirudh |
| contents | 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 $α$ solves a modular linear differential equation of fixed order, with coefficients depending on $α$. 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 $α$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02102 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Schur limit, modular differential equations and quantum monodromy traces Deb, Anirudh High Energy Physics - Theory Mathematical Physics Quantum Algebra 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 $α$ solves a modular linear differential equation of fixed order, with coefficients depending on $α$. 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 $α$, 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. |
| title | Generalized Schur limit, modular differential equations and quantum monodromy traces |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2512.02102 |