Exact Results for SYM on $Y^{p,q}$ and $S^2\times S^2$ with Conical Singularities
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915476001521664 |
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| author | Ruggeri, Lorenzo |
| author_facet | Ruggeri, Lorenzo |
| contents | Starting from a theory on $S^3\times S^3$ and dimensionally reducing, we compute the full partition function, including flux and instanton contributions, for an $\mathcal{N}=1$ theory of vector multiplets and hypermultiplets on five-dimensional toric Sasakian manifolds $Y^{p,q}$. Dimensionally reducing, we obtain the partition function for Pestun-like theories on a class of manifolds whose topology is $S^2\times S^2$. Generalizing the procedure starting from branched covers of $S^3\times S^3$, we reduce to a theory on $Y^{p,q}$ with codimension two twist defects. Exploiting a proposed equivalence with partition functions on spaces with orbifold singularities, our results provide the partition function of an $\mathcal{N}=2$ theory on the product of two spindles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13614 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Results for SYM on $Y^{p,q}$ and $S^2\times S^2$ with Conical Singularities Ruggeri, Lorenzo High Energy Physics - Theory Starting from a theory on $S^3\times S^3$ and dimensionally reducing, we compute the full partition function, including flux and instanton contributions, for an $\mathcal{N}=1$ theory of vector multiplets and hypermultiplets on five-dimensional toric Sasakian manifolds $Y^{p,q}$. Dimensionally reducing, we obtain the partition function for Pestun-like theories on a class of manifolds whose topology is $S^2\times S^2$. Generalizing the procedure starting from branched covers of $S^3\times S^3$, we reduce to a theory on $Y^{p,q}$ with codimension two twist defects. Exploiting a proposed equivalence with partition functions on spaces with orbifold singularities, our results provide the partition function of an $\mathcal{N}=2$ theory on the product of two spindles. |
| title | Exact Results for SYM on $Y^{p,q}$ and $S^2\times S^2$ with Conical Singularities |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.13614 |