تقرير
Localization on $AdS_3 \times S^2$ I: the 4d/5d connection in off-shell Euclidean supergravity
| العنوان: | Localization on $AdS_3 \times S^2$ I: the 4d/5d connection in off-shell Euclidean supergravity |
|---|---|
| المؤلفون: | Ciceri, Axel, Jeon, Imtak, Murthy, Sameer |
| سنة النشر: | 2023 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We begin to develop the formalism of localization for the functional integral of supergravity on $AdS_3 \times S^2$. We show how the condition of supersymmetry in the Euclidean $\mathbb{H}^3/\mathbb{Z} \times S^2$ geometry naturally leads to a twist of the S$^2$ around the time direction of $AdS_3$. The twist gives us a five-dimensional Euclidean supergravity background dual to the elliptic genus of $(0,4)$ SCFT$_2$ at the semiclassical level. On this background we set up the off-shell BPS equations for one of the Killing spinors, such that the functional integral of five-dimensional Euclidean supergravity on $\mathbb{H}^3/\mathbb{Z} \times S^2$ localizes to its space of solutions. We obtain a class of solutions to these equations by lifting known off-shell BPS solutions of 4-dimensional supergravity on $AdS_2 \times S^2$. In order to do this consistently, we construct and use a Euclidean version of the off-shell 4d/5d lift of arxiv:1112.5371, which could be of independent interest. Comment: 36 pages + appendices |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP07(2023)218 |
| URL الوصول: | http://arxiv.org/abs/2301.08084 |
| رقم الأكسشن: | edsarx.2301.08084 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP07(2023)218 |
|---|