We study the localization of fermions on a brane embedded in a space-time with AdSn×M geometry. Quantum numbers of localized fermions are associated with their rotation momenta around the brane. Fermions with different quantum numbers have different higher-dimensional profiles. Fermion masses and mixings, which are proportional to the overlap of higher-dimensional profiles of the fermions, depe...

For an integral homology 3-sphere embedded asymptotically flatly in an Euclidean space, we find a natural framing extending the standard trivialization on the asymptotically flat part. Suppose M is a 3-dimensional closed smooth manifold which has the same integral homology groups as the 3-sphere S. x0 is a fixed point in M . Embed M in a Euclidean space R such that x0 is the infinite point of t...

The Hamiltonian actions of S 1 on the symplectic manifold R 6 in the 1 : 1 : ?2 and 1 : 1 : 2 resonances are studied. Associated to each action is a Hilbert basis of polynomials deening an embedding of the orbit space into a Euclidean space V and of the reduced orbit space J ?1 (0)=S 1 into a hyperplane V J of V , where J is the quadratic momentum map for the action. The orbit space and the red...

following the idea of $l$-fuzzy neighborhood system as introduced byfu-gui shi, and its generalization to $(l,m)$-fuzzy neighborhood system, the relationship between  $(l,m)$-fuzzy topology and $(l,m)$-fuzzy neighborhood system will be further studied. as an application of the obtained results, we will describe the initial structures of $(l,m)$-fuzzy neighborhood subspaces and $(l,m)$-fuzzy top...

In this paper, we introduce them-WG inverse in Minkowski space. Firstly, show the existence and uniqueness of m-WG inverse. Secondly, give representations Thirdly, characterize by applying a bordered matrix. addition, extend generalized Cayley-Hamilton theorem to Finally, apply solve linear equations

Introduction. A module over a ring will be said to be locally projective if and only if every finitely generated submodule is projective. As will be shown (7.14), it readily follows from known facts that if M is a locally projective module over a regular ring R, then the set L(M, R) of all finitely generated submodules of M is a relatively complemented modular lattice. This paper is concerned w...

We consider m spinless Fermions in l > m degenerate single– particle levels interacting via a k–body random interaction with Gaus-sian probability distribution and k ≤ m in the limit l → ∞ (the embedded k–body random ensembles). We address the cases of orthogonal and unitary symmetry. We derive a novel eigenvalue expansion for the second moment of the Hilbert–space matrix elements of these ense...