Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu Algebra
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909680858562560 |
|---|---|
| author | Andrews, George Banerjee, Anindya Bhargava, Chinmaya Singh, Ranveer Kumar Tao, Runkai |
| author_facet | Andrews, George Banerjee, Anindya Bhargava, Chinmaya Singh, Ranveer Kumar Tao, Runkai |
| contents | In this paper, we relate the MacDonald index of a 4d $\mathcal{N}=2$ SCFT with the Hilbert series of the arc space of the Zhu algebra of the corresponding Schur VOA. Using this, we conjecture a simple formula for the MacDonald index of $(A_1,D_{2n+1})$ Argyres-Douglas theory. We perform checks of the formula against the known Schur limits and RG flows. To match the Schur limit, we prove new $q$-series identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu Algebra Andrews, George Banerjee, Anindya Bhargava, Chinmaya Singh, Ranveer Kumar Tao, Runkai High Energy Physics - Theory Number Theory Quantum Algebra In this paper, we relate the MacDonald index of a 4d $\mathcal{N}=2$ SCFT with the Hilbert series of the arc space of the Zhu algebra of the corresponding Schur VOA. Using this, we conjecture a simple formula for the MacDonald index of $(A_1,D_{2n+1})$ Argyres-Douglas theory. We perform checks of the formula against the known Schur limits and RG flows. To match the Schur limit, we prove new $q$-series identities. |
| title | Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu Algebra |
| topic | High Energy Physics - Theory Number Theory Quantum Algebra |
| url | https://arxiv.org/abs/2507.06294 |