在Chern-Simons理论中,Chern-Simons形式的一般定义为:\[ CS(A) = \text{Tr}\left(A \wedge dA + \frac{2}{3}A \wedge A \wedge A\right) \]在我们的场景中,联络A的数学表达式为\(A = v \cdot \cos(\theta) d\phi\),而曲率F的数学表达式为\(F = -v \cdot \sin(\theta) d\theta \wed...
- 物理角度：Chern-Simons theory 是一个三维的拓扑量子场论，它以 Chern-Simons form 作为作用量，描...
The Chern–Simons form [ 1 , 2 , 3 ] is defined as where k is the Cartan homotopy operator in the case ...doi:10.1007/1-4020-4522-0_93Pablo MoraSpringer Netherlands
We consider a group G with generators T I, the gauge potential 1-form [equation] and the curvature 2-form F = dA + A2, defined on a manifold M2 N + 2 of even dimension 2 N+ 2. The covariant...Connes, AlainWit, Bernard de...
Why is the Chern-Simons form the most natural choice for a theory of interacting open strings? The answer is that the basic interaction open string vertex is the cubic one (2->1). Recall that topological gauge theories does not have physical excitations(otherwise depend on quantum corrections)...
The Chern鈥揝imons (CS) form evolved from an obstruction in mathematics into an important object in theoretical physics. In fact, the presence of CS terms ... Jorge,Zanelli - 《Classical & Quantum Gravity》 被引量: 62发表: 2012年 Chern-Simons forms and four-dimensional N = 1 superspace ...
Chern–Simons forms in gravitation theories The Chern鈥揝imons (CS) form evolved from an obstruction in mathematics into an important object in theoretical physics. In fact, the presence of CS terms ... Jorge,Zanelli - 《Classical & Quantum Gravity》 被引量: 62发表: 2012年 ...
We also put forward electromagnetic as well as gravitational `Chern-Simons' like terms that arise naturally in 4D, entailing a modified Einstein-Maxwell equation and an enlarged system of Einstein equation involving a Cotton tensor. We demonstrate that the scalar-density associated with $ilde {w}...
实嵌入,Eta不变量和Chern-Simons流 姓名:*** 申请学位级别:硕士 专业:基础数学 指导教师:**平 20080301 中文摘要 中文摘要 在参考文献[11】中,Bismut和张伟平证明了一个关于7卜不变量的局部化公 式。他们的证明依赖=J=Bismut—Lebeau=f=参考文献[10】中所发展的解析技巧。根 据张伟平在参考文献【16】中的想法...
一类自对偶Chern-Simons涡旋方程解的存在性 热度: a r X i v : 0 7 0 4 . 3 7 4 0 v 1 [ h e p - t h ] 2 7 A p r 2 0 0 7 NotesonSuperconformalChern-Simons-MatterTheories DavideGaiotto 1 andXiYin 2 JeffersonPhysicalLaboratory,HarvardUniversity,Cambridge,MA02138 ...