来自物质耦合 5D N = 4 规范超引力的共形线缺陷
Conformal line defects from matter-coupled 5D N=4 gauged supergravity
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中文总结 AI 辅助
研究五维物质耦合 N = 4 规范超引力中 N = 2 SCFT 内共形线缺陷的全息解，通过不同规范群找到多种解，包括不同超对称真空的情况，还涉及解的提升及特殊线缺陷解。
中文摘要 AI 辅助
我们研究了一些全息解，这些解描述了来自五维物质耦合的 N = 4 规范超引力中的 N = 2 超共形场论（SCFT）内的共形线缺陷。对于 SO(2)_D×SO(3) 规范群，规范超引力允许两个具有 N = 4 和 N = 2 未破缺超对称性的超对称 AdS_5 真空。结果表明，只有渐近于 N = 4 真空的解才可能导致对偶 N = 2 SCFT 内的线缺陷。在具有 SO(2)×ISO(3) 规范群的规范超引力中，我们发现了类似的解，其中 N = 2 SCFT 出现在红外区域，而紫外场论对应于由缠绕在双曲空间 H^2 上的 M5 膜产生的六维 N=(0,2) 场论。具有 SO(2)×SO(3) 对称性的解也通过在 H^2×S^4 上的一致截断提升到十一维。最后，对于具有 SO(2)×SO(3)×SO(3) 规范群且允许两个 N = 4 超对称 AdS_5 真空的规范超引力，我们找到了一个描述在这两个真空之间插值的线缺陷的解以及一个只有一个渐近 AdS_5 几何的解。
英文摘要
We study a number of holographic solutions describing conformal line defects within $N=2$ SCFTs from matter-coupled $N=4$ gauged supergravity in five dimensions. For $SO(2)_D\times SO(3)$ gauge group, the gauged supergravity admits two supersymmetric $AdS_5$ vacua with $N=4$ and $N=2$ unbroken supersymmetries. It turns out that only solutions that are asymptotic to the $N=4$ vacuum are possible leading to line defects within the dual $N=2$ SCFT. In gauged supergravity with $SO(2)\times ISO(3)$ gauge group, we find similar solutions with the $N=2$ SCFT appearing in the IR while the UV field theories correspond to six-dimensional $N=(0,2)$ field theories arising from M5-branes wrapped on a hyperbolic space $H^2$. The solution with $SO(2)\times SO(3)$ symmetry is also uplifted to eleven dimensions via a consistent truncation on $H^2\times S^4$. Finally, for gauged supergravity with $SO(2)\times SO(3)\times SO(3)$ gauge group that admits two $N=4$ supersymmetric $AdS_5$ vacua, we find a solution describing a line defect that interpolates between these two vacua as well as a solution with only one asymptotic $AdS_5$ geometry.
