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.

我们研究了使用超对称理论具有额外维度的统一模型。特别是，研究了诸如域壁，涡流，单孔和激体像等孤子。这些孤子旨在用作bran-world场景的背景孤子。我们研究了两个方面：i）在supersymetric Theories中研究孤子。II）将这些孤子应用于brane-world conesario.ii。我们的重点是研究孤子的求解，作为对非线性差异设备的解决方案。我们已经研究了打算应用于非扰动效应的孤子动力学。我们已经在具有八个增压的非线性Sigma模型中确定了域壁解决方案。我们已经研究了如何维持超对称表现的一部分。使用此结果，我们已经完全研究了非亚伯蛋白仪理论的域墙。这些结构域壁溶液的模量空间被发现是紧凑的复杂grassmann歧管。在六个维度的超对称nonabelian仪表理论中也构建了涡旋。我们还研究了具有1/4超对称性的孤子上的有效的拉格朗日，我们在非阿贝兰理论中构建了域壁，涡流和单孔的复合孤子。我们已经构建了八bps的域壁连接为1/4 bps solugine of 8 shorepharge shophauge shopories。这是具有八个增压的理论中的域壁连接的第一个例子。我们还表明，与彼此之间任何角度的肿块溶液可以保持超对称的一部分。