Four stacks of intersecting supersymmetric fractional D6-branes on the Z_6' orientifold have previously been used to construct consistent models having the spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets, plus three right-chiral neutrino singlets. However, various moduli, Kahler moduli and complex-structure moduli, twisted and untwisted, remain unfixed. Further, some of the Yukawa couplings needed to generated quark and lepton masses are forbidden by a residual global symmetry of the model. In this paper we study the stabilisation of moduli using background fluxes, and show that the moduli may be stabilised within the Kahler cone. In principle, missing Yukawa couplings may be restored, albeit with a coupling that is suppressed by non-perturbative effects, by the use Euclidean D2-branes that are pointlike in spacetime, i.e. E2-instantons. However, for the models under investigation, we show that this is not possible.
We evaluate string one-loop contributions to the Einstein-Hilbert term in toroidal minimally supersymmetric type IIB orientifolds with D-branes. These have potential applications to the determination of quantum corrections to the moduli Kahler metric in these models.
Almost the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold
在Z_6'定向折叠上的超对称分数次膜的交叉堆叠可以用来构造超对称标准模型。如果a，b是产生SU（3）_{colour}和SU（2）_L规范粒子的堆，那么，为了得到{ \em just}，（超对称）标准模型（与Higgs多重态的非零Yukawa耦合），需要堆叠a和b的交叉点a \cap b的数量，并且a的交叉数a \cap b'与b的定向折叠图像b'满足（a \cap b，a \cap b '）=（2，1）或（1，2）。同样必要的是，在规范群的对称表象中没有物质，在反对称表象中也没有太多的物质。具有所有这些性质的分式膜可以在Z_6'定向折叠上构造。我们构建了一个（四层）模型，其中有两个额外的堆栈，每个堆栈只有一个膜，它具有精确的超对称标准模型的物质谱，包括一对希格斯双重态。然而，规范群是SU（3）_{ \rm colour} x SU（2）_L x U（1）_Y x U（1）_H。只有希格斯二重态相对于U（1）H是带电的。
We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If a,b are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs multiplets), it is necessary that the number ofintersections a \circ b of the stacks a and b, and the number of intersections a \circ b' of a with the orientifold image b' of b satisfy (a \circ b,a \circ b')=\pm(2,1) or \pm(1,…
In this work we study ten-dimensional solutions to type IIA string theory of the form AdS$_4$ x $X_6$ which contain orientifold planes and preserve N=1 supersymmetry. In particular, we consider solutions which exhibit some key features of the four-dimensional DGKT proposal for compactifications on Calabi-Yau manifolds with fluxes, and in this sense may be considered their ten-dimensional uplifts. We focus on the supersymmetry equations and Bianchi identities, and find solutions to these that are valid at the two-derivative level and at first order in an expansion parameter which is related to …
Jefferson Physical Laboratory, Harvard University（哈佛大学杰斐逊物理实验室）；Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)（马克斯·普朗克物理研究所（维尔纳·海森堡研究所））；CPHT, CNRS, Ecole polytechnique, Institut Polytechnique de Paris（巴黎综合理工学院高等物理与化学国家研究中心，巴黎理工学院）
Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
我们在T^6/（Z_2 x Z_2）上构造了N=1个超对称的IIA型四维定向折叠，其中D 6-膜相交成角。在模型中使用不完全与O 6平面对齐的D 6-膜，可以构建许多具有手征物质的超对称模型，包括那些具有标准模型和大统一规范群的模型。我们寻找了真实的规范扇区，并构造了第一个具有SU（3）_C x SU（2）_L x U（1）_Y规范群和三个夸克轻子族的超对称II型定向折叠的例子.除了超对称标准模型的内容，该模型还包含右手中微子，一组（手征但无异常）奇异多重态，以及各种矢量样多重态。一般类的这些建设是相关的熟悉的II型orientifolds的小瞬子转换，在某些情况下，改变的代数，在特定的模型中讨论。这些结构是超对称的，只有特殊选择的无扭模量。我们简要地讨论了超对称性破缺效应远离这一点。这一类超对称定向褶皱模型的M理论提升应该对应于纯粹的几何背景，允许奇异的G_2完整度规，并导致具有手征费米子的四维M理论真空。
We investigate another supersymmetric Chern-Simons theory called the orientifold ABJM theory, which replaces the unitary supergroup structure of the ABJM theory with an orthosymplectic one. Its non-perturbative structure is completely clarified by considering the duplication of the quiver.
We consider massive type IIA orientifold compactifications of the form AdS$_4 \times X_6$, where $X_6$ admits a Calabi-Yau metric and is threaded by background fluxes. From a 4d viewpoint, fluxes generate a potential whose vacua have been classified, including one $\mathcal{N}=1$ and three perturbatively stable $\mathcal{N}=0$ branches. We reproduce this result from a 10d viewpoint, by solving the type IIA equations at the same level of detail as previously done for the $\mathcal{N}=1$ branch. All solutions exhibit localised sources and parametric scale separation. We then analyse the non-pert…
本文考虑了生活在0 B/Ω' I_6（-1）^{ F_{L} }型N D 3膜及其轨道折叠C^2/Z_2和C^3/（Z_2 x Z_2）的世界体积上的规范理论。在这三种情况下得到的规范理论都是“定向折叠场论”的膜实现，它们分别具有N= 4，2，1的超杨-米尔斯所共有的玻色子扇形。在这些非超对称理论中，我们研究了保持规范/重力对应的可能性，这种对应在超对称理论中表现得非常成功。在开弦框架中，我们计算的规范动力学项的系数表明，微扰行为的orientifold场论可以从封闭的弦通道中获得的大N极限，在那里的理论表现出玻色费米简并。
