Report
Topological Correlators and Surface Defects from Equivariant Cohomology
| العنوان: | Topological Correlators and Surface Defects from Equivariant Cohomology |
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| المؤلفون: | Panerai, Rodolfo, Pittelli, Antonio, Polydorou, Konstantina |
| سنة النشر: | 2020 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We find a one-dimensional protected subsector of $\mathcal{N}=4$ matter theories on a general class of three-dimensional manifolds. By means of equivariant localization, we identify a dual quantum mechanics computing BPS correlators of the original model in three dimensions. Specifically, applying the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that this localizes on a one-dimensional action with support on the fixed-point submanifold of suitable isometries. We first show that our approach reproduces previous results obtained on $S^3$. Then, we apply it to the novel case of $S^2 \times S^1$ and show that the theory localizes on two noninteracting quantum mechanics with disjoint support. We prove that the BPS operators of such models are naturally associated with a noncommutative star product, while their correlation functions are essentially topological. Finally, we couple the three-dimensional theory to general $\mathcal{N}=(2,2)$ surface defects and extend the localization computation to capture the full partition function and BPS correlators of the mixed-dimensional system. Comment: 40 pages, 3 figures; v2: minor revision, published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP09(2020)185 |
| URL الوصول: | http://arxiv.org/abs/2006.06692 |
| رقم الانضمام: | edsarx.2006.06692 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP09(2020)185 |
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