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Models with extra dimensions and supersymmetry

具有额外维度和超对称性的模型

基本信息

批准号：
13640269
负责人：
SAKAI Norisuke
金额：
$ 2.11万
依托单位：
TOKYO INSTITUTE OF TECHNOLOGY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2004
项目状态：
已结题

项目摘要

We have studied unified models with extra dimensions using supersymmetric theories. In particular, solitons such as domain walls, vortices, monopoles and instantons are studied. These solitons are intended to be used as background solitons for the brane-world scenario.We have studied mainly two aspects :I)studying solitons in supersymetric theories.II)Application of these solitons to brane-world scenario.We have focused on studying solitons as solutions of nonlinear differential equations for fields. We have studied soliton dynamics intending an application to nonperturbative effects.We have worked out domain wall solutions in nonlinear sigma models with eight supercharges. We have studied how to maintain part of supersymmetry manifest.Moerover, we obtained supersymmetric vacua in non Abelian gauge theories with Fayet-Iliopoulos term for Abelian factor group, and with nondegenerate masses for hypermultiplets. Using this result, we have worked out domain walls in nonAbelain gauge theories completely. Moduli space of these domain wall solutions is found to be compact complex Grassmann manifold.Vortices are also constructed in supersymmetric nonAbelian gauge theories in six dimensions. We also studied the effective Lagrangian on the soliton.As solitons with 1/4 of supersymmetry preserved, we constructed composite solitons of domain walls, vortices and monopoles in nonAbelain gauge theories.We have constructed domain wall junction as 1/4 BPS solution of gauge theories with eight supercharges. This is the first example of domain wall junction in theories with eight supercharges.We have also shown that lump solutions making any angle with each other can preserve part of supersymmetry.

我们使用超对称理论研究了具有额外维度的统一模型。特别是，研究了诸如畴壁、涡旋、单极子和瞬子等孤子。这些孤子旨在用作膜世界场景的背景孤子。我们主要研究了两个方面：I）研究超对称理论中的孤子。II）这些孤子在膜世界场景中的应用。我们重点研究孤子作为场非线性微分方程的解。我们研究了孤子动力学，旨在将其应用于非微扰效应。我们已经在具有八个增压的非线性西格玛模型中计算出了畴壁解决方案。我们研究了如何维持部分超对称性的表现。此外，我们在非阿贝尔规范理论中用Fayet-Iliopoulos项作为阿贝尔因子群，用非简并质量作为超多重态得到了超对称真空。利用这个结果，我们完全计算出了非阿伯兰规范理论中的畴壁。发现这些畴壁解的模空间是紧复格拉斯曼流形。涡旋也是在六维超对称非阿贝尔规范理论中构造的。我们还研究了孤子上的有效拉格朗日。由于保留了1/4超对称性的孤子，我们构造了非Abelain规范理论中的畴壁、涡旋和单极子的复合孤子。我们将畴壁结构造为具有8个超电荷的规范理论的1/4 BPS解。这是理论上具有八个超电荷的磁畴壁连接的第一个例子。我们还表明，彼此形成任何角度的集总解可以保留部分超对称性。