Shell formulas for instantons and gauge origami
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918487383867392 |
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| author | Jiang, Jiaqun |
| author_facet | Jiang, Jiaqun |
| contents | We introduce the shell formula-a framework that unifies the description of partition functions whose pole structures are classified by Young diagrams of arbitrary dimension. The formalism yields explicit closed-form expressions and recursion relations for a wide range of physical systems, including instanton partition functions of 5d pure super Yang-Mills theory with classical gauge groups, as well as gauge origami configurations such as the magnificent four, tetrahedron instantons, spiked instantons, and Donaldson-Thomas invariants in $\mathbb{C}^3$ and $\mathbb{C}^4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shell formulas for instantons and gauge origami Jiang, Jiaqun High Energy Physics - Theory Mathematical Physics We introduce the shell formula-a framework that unifies the description of partition functions whose pole structures are classified by Young diagrams of arbitrary dimension. The formalism yields explicit closed-form expressions and recursion relations for a wide range of physical systems, including instanton partition functions of 5d pure super Yang-Mills theory with classical gauge groups, as well as gauge origami configurations such as the magnificent four, tetrahedron instantons, spiked instantons, and Donaldson-Thomas invariants in $\mathbb{C}^3$ and $\mathbb{C}^4$. |
| title | Shell formulas for instantons and gauge origami |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2512.21606 |