物质耦合F(4)规范超引力中拓扑圆盘上的D4膜
D4-branes wrapped on topological disks from matter-coupled F(4) gauged supergravity
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中文总结 AI 辅助
本文基于物质耦合F(4)规范超引力构造超对称AdS₄×Σ解，部分解对应五维N=2 SCFT的余维2共形缺陷，既扩展了已知解也提供了新类解。
中文摘要 AI 辅助
我们研究物质耦合F(4)规范超引力中的一系列超对称AdS₄×Σ解，其中Σ是边界带有非平凡U(1)和乐的拓扑圆盘或“半纺锤”。该规范超引力与三个矢量多重态耦合，具有SO(3)×SO(3)规范群；所得解保持8个超荷及SO(2)×SO(2)或SO(2)diag对称性，预期与五维N=2 SCFT在半纺锤上紧致化产生的三维N=2 SCFT对偶。所有解均属于物质耦合F(4)规范超引力的U(1)×U(1)子 sector，该子 sector可嵌入质量型IIA理论。提升至十维后，这些解可解释为缠绕在Σ上的D4-D8膜系统；部分解渐近于局域AdS₆几何，可被识别为五维N=2 SCFT内的余维2共形缺陷，对这些解，Σ内的圆周在AdS₆极限下非紧致化，导致全息自由能无穷大；还存在对偶三维SCFT中自由能有限的解。此外，我们证明所得结果既扩展了先前已知的解，也提供了一类新解。
英文摘要
We study a number of supersymmetric $AdS_4\times Σ$ solutions with $Σ$ being a topological disk with non-trivial $U(1)$ holonomy on the boundary or a ``half-spindle'' from matter-coupled $F(4)$ gauged supergravity. The gauged supergravity is coupled to three vector multiplets with $SO(3)\times SO(3)$ gauge group. The resulting solutions preserve eight supercharges and $SO(2)\times SO(2)$ or $SO(2)_{\text{diag}}$ symmetries and are expected to be dual to $N=2$ SCFTs in three dimensions arising from compactifications of five-dimensional $N=2$ SCFT on a half-spindle. All of the solutions lie within the $U(1)\times U(1)$ subsector of the matter-coupled $F(4)$ gauged supergravity that can be embedded in massive type IIA theory. After uplifted to ten dimensions, the solutions can be interpreted as a system of D4-D8-branes wrapped on $Σ$. Some of the solutions are asymptotic to a locally $AdS_6$ geometry and can be identified as codimension-2 conformal defects within the $N=2$ SCFT in five dimensions. For these solutions, the circle inside $Σ$ decompactifies in the $AdS_6$ limit rendering the holographic free energy infinite. There also exist solutions with finite free energy in the dual three-dimensional SCFTs. In addition, we show that the results both extend the previously known solutions and provide a novel class of solutions.
