تقرير
The Spindle Index from Localization
| العنوان: | The Spindle Index from Localization |
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| المؤلفون: | Inglese, Matteo, Martelli, Dario, Pittelli, Antonio |
| المصدر: | J. Phys. A, 57(8):085401, 2024 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics |
| الوصف: | We present a new supersymmetric index for three-dimensional ${\cal N}=2$ gauge theories defined on $\Sigma \times S^1$, where $\Sigma$ 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 $\Sigma \times S^1$ 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. Comment: 5 pages, v3: published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/ad2225 |
| URL الوصول: | http://arxiv.org/abs/2303.14199 |
| رقم الأكسشن: | edsarx.2303.14199 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/ad2225 |
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