it is very hard to describe the moduli space of such minimal immersions: the classical data is the induced metric, a metric connexion in the normal bundle, and the second fundamental form, all three linked by the Gauss–Codazzi–Ricci equations, which are a system of non-linear p.d.e. ...
Consider a Riemann curve C and the spacetime M = R2 × C with the local coordinates (x, t), (z.z¯).2 On R2 ∼ C introduce the complex coordinates w = x + t, w¯ = x − t. Let G be a complex simple Lie group. Consider a principal G bundle P over M and equip ...
To an object $(M,Fil^{\\\cdot},abla,\\\Phi)$ in the Faltings category $\\\mathcal{MF}^{abla}_{[0,n]}(X), n\\\leq p-2$, one associates an \\\'{e}tale local system $\\\V$ over the generic fiber of $X$ and a Higgs bundle $(E,heta)$ over $X$. Our motivation ...
the topology of higgs bundle moduli spaces:希格斯bundle模空间的拓扑结构 热度: Brout-Englert-Higgs机制和希格斯粒子 热度: 相关推荐 Kien Nguyen Juli 2009 1 The Higgs Mechanism We begin by applying the Higgs mechanism to an abelian, U(1) gauge theory, to demonstrate how the mass of the corr...
Brout-Englert-Higgs机制和希格斯粒子 热度: Higgs Parity grand unification(希格斯奇偶校验统一) 热度: the topology of higgs bundle moduli spaces:希格斯bundle模空间的拓扑结构 热度: 相关推荐MeasurementofHiggsProperties withH→ZZwithCMS GuomingChen,MingshuiChen,RokoPlestina...
,2Nc(Nf−Nc), where {Xα} is a set of real local coordinates of a point X∈Gr(Nc,Nf), and ∂α=∂/∂Xα will denote derivatives with respect to them. Canonical connection. On the principal U(Nc)-bundle (2.12) there exists a unique U(Nf)-equivariant connection, the so-...
Given a Hermitian line bundle over a closed, oriented Riemannian manifold M, we study the asymptotic behavior, as , of couples critical for the rescalings of the self-dual Yang–Mills–Higgs energy, where u is a section of L and is a Hermitian connection on L with curvature . Under the...