تقرير
From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
| العنوان: | From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs |
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| المؤلفون: | Capuozzo, Pietro, Estes, John, Robinson, Brandon, Suzzoni, Benjamin |
| سنة النشر: | 2024 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | Two-dimensional (2d) $\mathcal{N}=(4,4)$ Lie superalgebras can be either "small" or "large", meaning their R-symmetry is either $\mathfrak{so}(4)$ or $\mathfrak{so}(4) \oplus \mathfrak{so}(4)$, respectively. Both cases admit a superconformal extension and fit into the one-parameter family $\mathfrak{d}\left(2,1;\gamma\right)\oplus \mathfrak{d}\left(2,1;\gamma\right)$, with parameter $\gamma \in (-\infty,\infty)$. The large algebra corresponds to generic values of $\gamma$, while the small case corresponds to a degeneration limit with $\gamma \to -\infty$. In 11d supergravity, we study known solutions with superisometry algebra $\mathfrak{d}\left(2,1;\gamma\right)\oplus \mathfrak{d}\left(2,1;\gamma\right)$ that are asymptotically locally AdS$_7 \times S^4$. These solutions are holographically dual to the 6d maximally superconformal field theory with 2d superconformal defects invariant under $\mathfrak{d}\left(2,1;\gamma\right)\oplus \mathfrak{d}\left(2,1;\gamma\right)$. We show that a limit of these solutions, in which $\gamma \to -\infty$, reproduces another known class of solutions, holographically dual to small $\mathcal{N}=(4,4)$ superconformal defects. We then use this limit to generate new small $\mathcal{N}=(4,4)$ solutions with finite Ricci scalar, in contrast to the known small $\mathcal{N}=(4,4)$ solutions. We then use holography to compute the entanglement entropy of a spherical region centered on these small $\mathcal{N}=(4,4)$ defects, which provides a linear combination of defect Weyl anomaly coefficients that characterizes the number of defect-localized degrees of freedom. We also comment on the generalization of our results to include $\mathcal{N}=(0,4)$ surface defects through orbifolding. Comment: 1+35 pages, 4 figures, v2: added (5.13) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.11745 |
| رقم الأكسشن: | edsarx.2402.11745 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |