The Spindle Index from Localization
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909109930950656 |
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| author | Inglese, Matteo Martelli, Dario Pittelli, Antonio |
| author_facet | Inglese, Matteo Martelli, Dario Pittelli, Antonio |
| contents | We present a new supersymmetric index for three-dimensional ${\cal N}=2$ gauge theories defined on $Σ\times S^1$, where $Σ$ is a spindle, with twist or anti-twist for the $R$-symmetry background gauge field. We start examining general supersymmetric backgrounds of Euclidean new minimal supergravity admitting two Killing spinors of opposite $R$-charges. We then focus on $Σ\times S^1$ and demostrate how to realise twist and anti-twist. We compute the supersymmetric partition functions on such backgrounds via localization and show that these are captured by a general formula, depending on the type of twist, which unifies and generalises the superconformal and topologically twisted indices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14199 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Spindle Index from Localization Inglese, Matteo Martelli, Dario Pittelli, Antonio High Energy Physics - Theory Mathematical Physics We present a new supersymmetric index for three-dimensional ${\cal N}=2$ gauge theories defined on $Σ\times S^1$, where $Σ$ is a spindle, with twist or anti-twist for the $R$-symmetry background gauge field. We start examining general supersymmetric backgrounds of Euclidean new minimal supergravity admitting two Killing spinors of opposite $R$-charges. We then focus on $Σ\times S^1$ and demostrate how to realise twist and anti-twist. We compute the supersymmetric partition functions on such backgrounds via localization and show that these are captured by a general formula, depending on the type of twist, which unifies and generalises the superconformal and topologically twisted indices. |
| title | The Spindle Index from Localization |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2303.14199 |