Chern-Simons form是一种数学工具,用于研究空间的几何性质。想象一下,当你在看一个球或者甜甜圈的形状时,你可以用不同的方式描述它们的形状。Chern-Simons form就是这样一种方式,它帮助数学家和物理学家理解和计算这些形状的特定性质。 Chern-Simons theory则是使用Chern-Simons form的理论,它在理论物理中特别重要,...
- 数学角度：Chern-Simons form 是一个三维微分形式，它与连接和纤维丛的拓扑性质有关。- 物理角度：C...
Chern-Simons forms arise from the Chern classes by a procedure calledtransgression, which involves pulling a characteristic formCon the base manifoldMof a bundleπ:E→Mback to the total spaceEbyπ*, and thereby making the pullback form an exact form onE:π*C =d(CS(C))…...
Chern–Simons Form Reference work entry First Online:01 January 2017 pp 87 Cite this reference work entry Concise Encyclopedia of Supersymmetry We consider a groupGwith generatorsTI, the gauge potential 1-formand the curvature 2-formF=dA+A2, defined on a manifoldM2N+ 2of even dimension 2N+ ...
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
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)...
Based on these facts, it is possible to redefine the 2-connection as a type N = 1 generalized differential form, and the 3-connection as a type N = 2 generalized differential form. The advantage of using the GDC lies in the fact that we can rewrite the higher connection as a kind of...
formtheirdirectsum (2¨¨1. ((∈・ )+,(∈・ )一,Ⅵ)o((已)+,(已)一,K)=((∈・ )+o(已)+,(∈・ )一o(已)一,ⅥoK) 3 2.2.GeometricconstructionofdirectimagesandtheassociatedChern—Simonscurrent andalsothe super tensor product (2.2)((∈。)+,(∈。)一,Ⅵ)园((已)+,(已)一...
We consider the dynamics of a four-form field $ilde {w} $, treating it as a distinct physical degree of freedom, independent of the metric. The equations of motion are derived from an action which, besides having the standard Hilbert-Einstein term and the matter part, consists of a new...
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 ...