AI 中文总结
研究从 M5 膜和相关理论构造\(D = 5\)、\(\mathcal{N}=8\)规范超引力，利用特殊广义几何等方法扩展构造，计算 MN1 解上卡鲁扎 - 克莱因谱通用扇区并给出全局定义子扇区处方，其与特定 SCFT 轻算符谱通用扇区对偶。
AI 中文摘要
我们最近提出了一种新的\(D = 5\)、\(\mathcal{N}=8\)规范超引力，它涉及局部长号标度对称性。它通过将 M 理论在与包裹在无孔黎曼曲面上的 M5 膜相关的\(\mathcal{N}=2\)四维超共形场论（SCFT）对偶的 Maldacena - Núñez AdS\(_5\)解的内部空间上进行一致截断而产生。利用特殊广义几何/场论，我们扩展该构造表明，相同的\(D = 5\)、\(\mathcal{N}=8\)超引力也通过将\(D = 11\)超引力在 Bah - Beem - Bobev - Wecht 的\(\mathcal{N}=1\)M5 膜包裹解族（包括\(\mathcal{N}=1\)Maldacena - Núñez（MN1）构型）上进行一致截断而产生。然后，利用最近导出的质量矩阵，我们计算 MN1 解上卡鲁扎 - 克莱因谱的通用扇区。一般来说，这个通用谱只是局部定义的，我们给出了提取其全局定义子扇区的处方。这个全局定义的通用卡鲁扎 - 克莱因谱与 MN1 对偶的具有\(\mathrm{SU}(2)\)味的\(\mathcal{N}=1\)类\(\mathcal{S}\)SCFT 的轻算符谱的通用扇区对偶。
英文摘要
We recently presented a new $D=5$ $\mathcal{N}=8$ gauged supergravity involving the local trombone scaling symmetry. It arises by consistent truncation of M-theory on the internal space of the Maldacena-Núñez AdS$_5$ solution dual to the $\mathcal{N}=2$ four-dimensional superconformal field theory (SCFT) of class $\mathcal{S}$ associated to M5-branes wrapped on an unpunctured Riemann surface. Using exceptional generalised geometry/field theory, we extend that construction to show that the same $D=5$ $\mathcal{N}=8$ supergravity also arises by consistent truncation of $D=11$ supergravity on the family of $\mathcal{N}=1$ M5-brane-wrapped solutions of Bah-Beem-Bobev-Wecht, including the $\mathcal{N}=1$ Maldacena-Núñez (MN1) configuration. Then, using recently derived mass matrices, we compute universal sectors of the Kaluza-Klein spectrum on the MN1 solution. In general, this universal spectrum is only locally defined, and we give a prescription for extracting globally defined subsectors thereof. This globally defined universal Kaluza-Klein spectrum is dual to a universal sector of the light operator spectrum of the SU(2)-flavoured $\mathcal{N}=1$ class $\mathcal{S}$ SCFT dual to MN1.
Comments40 pages, No figures
