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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2402.11745 |
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| _version_ | 1866917748062289920 |
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| author | Capuozzo, Pietro Estes, John Robinson, Brandon Suzzoni, Benjamin |
| author_facet | Capuozzo, Pietro Estes, John Robinson, Brandon Suzzoni, Benjamin |
| contents | 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 $\mathfrak{d}\left(2,1;γ\right)\oplus \mathfrak{d}\left(2,1;γ\right)$, with parameter $γ\in (-\infty,\infty)$. The large algebra corresponds to generic values of $γ$, while the small case corresponds to a degeneration limit with $γ\to -\infty$. In 11d supergravity, we study known solutions with superisometry algebra $\mathfrak{d}\left(2,1;γ\right)\oplus \mathfrak{d}\left(2,1;γ\right)$ 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 $\mathfrak{d}\left(2,1;γ\right)\oplus \mathfrak{d}\left(2,1;γ\right)$. We show that a limit of these solutions, in which $γ\to -\infty$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11745 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs Capuozzo, Pietro Estes, John Robinson, Brandon Suzzoni, Benjamin High Energy Physics - Theory 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 $\mathfrak{d}\left(2,1;γ\right)\oplus \mathfrak{d}\left(2,1;γ\right)$, with parameter $γ\in (-\infty,\infty)$. The large algebra corresponds to generic values of $γ$, while the small case corresponds to a degeneration limit with $γ\to -\infty$. In 11d supergravity, we study known solutions with superisometry algebra $\mathfrak{d}\left(2,1;γ\right)\oplus \mathfrak{d}\left(2,1;γ\right)$ 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 $\mathfrak{d}\left(2,1;γ\right)\oplus \mathfrak{d}\left(2,1;γ\right)$. We show that a limit of these solutions, in which $γ\to -\infty$, 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. |
| title | From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.11745 |