AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
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来自黎曼表面上的 M5 膜和 D6 膜源的 AdS5 解决方案
DOI：
10.1007/jhep09(2015)163
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发表时间：
2015
影响因子：
5.4
通讯作者：
I. Bah
中科院分区：
文献类型：
--
作者：
I. Bah
本文描述了在穿孔的黎曼表面上包裹m5膜得到的四维N=1 $$ \mathcal{N}=1 $$超共形场理论的引力对偶。内部几何，法向AdS5因子，一般保留两个U(1)s，与发生器（J+, J−），这是光纤在黎曼表面。度规由一个满足蒙奇-安培方程的单一势控制。N=1 $$ \mathcal{N}=1 $$穿孔的谱是由一组超对称势源给出的，这些势源定位在黎曼表面上，并导致穿孔附近的规则度量。我们用这个系统研究了一类在源附近的几何形状与d6膜的m理论描述相对应的穿孔。它们带有一个自然的（p, q）标签，该标签与杀死向量pj++ qJ -对偶相关联，该向量在源附近收缩。在一般情况下，d6膜的世界体积为AdS5 × S2，它们局部保持N=2 $$ \mathcal{N}=2 $$超对称。当p =−q时，缩圆是对味U(1)的对偶。这种情况下的度规只有在存在共维一源时才是非简并的，这是通过涂抹包裹着AdS5因子和圆对偶超共形r对称的m5膜得到的。d6膜沿着AdS5和末端在协维1膜上的杯延伸。在缩圆与r对称对偶的特殊情况下，d6膜沿AdS5延伸并包覆一个具有任意属的辅助黎曼曲面。当黎曼曲面紧致且曲率恒定时，系统由蒙日-安培方程控制。
A bstractWe describe the gravity duals of four-dimensional N=1$$ \mathcal{N}=1 $$ superconformal field theories obtained by wrapping M5-branes on a punctured Riemann surface. The internal geometry, normal to the AdS5 factor, generically preserves two U(1)s, with generators (J+, J−), that are fibered over the Riemann surface. The metric is governed by a single potential that satisfies a version of the Monge-Ampère equation. The spectrum of N=1$$ \mathcal{N}=1 $$ punctures is given by the set of supersymmetric sources of the potential that are localized on the Riemann surface and lead to regular metrics near a puncture. We use this system to study a class of punctures where the geometry near the sources corresponds to M-theory description of D6-branes. These carry a natural (p, q) label associated to the circle dual to the killing vector pJ+ + qJ− which shrinks near the source. In the generic case the world volume of the D6-branes is AdS5 × S2 and they locally preserve N=2$$ \mathcal{N}=2 $$ supersymmetry. When p = −q, the shrinking circle is dual to a flavor U(1). The metric in this case is non-degenerate only when there are co-dimension one sources obtained by smearing M5-branes that wrap the AdS5 factor and the circle dual the superconformal R-symmetry. The D6-branes are extended along the AdS5 and on cups that end on the co-dimension one branes. In the special case when the shrinking circle is dual to the R-symmetry, the D6-branes are extended along the AdS5 and wrap an auxiliary Riemann surface with an arbitrary genus. When the Riemann surface is compact with constant curvature, the system is governed by a Monge-Ampère equation.
新的 $ mathcal{N}=1 $ 四维超共形场论
影响因子：
5.4
作者：
Bah I
通讯作者：
Bah I
影响因子：
5.4
作者：
Fabio Apruzzi;M. Fazzi;Dario Rosa;A. Tomasiello
通讯作者：
Fabio Apruzzi;M. Fazzi;Dario Rosa;A. Tomasiello
M5 膜的四维 SCFT
影响因子：
5.4
作者：
Bah I
通讯作者：
Bah I