Decomposition of Noncommutative U(1) Gauge Potential

We investigate the decomposition of noncommutative gauge potential (A) over cap (i), and find that it has inner structure, namely, (A) over cap (i) can he decomposed in two parts, (b) over cap (i) and (a) over cap (i), where (b) over cap (i) satisfies gauge transformations while (a) over cap (i) satisfies adjoint transformations, so close the Seiberg-Witten mapping of noncommutative, U(1) gauge potential. By, means of Seiberg-Witten mapping, we construct a mapping of unit vector field between noncommutative space and ordinary space, and find the noncommutative U(1) gauge potential and its gauge field tensor can be expressed in terms of the unit vector field. When the unit vector field has no singularity point, noncommutative gauge potential and gauge field tensor will equal ordinary gauge potential and gauge field tensor

Fermionic zero modes in gauge and gravity backgrounds on T-2

Here we study fermionic zero modes in gauge and gravity backgrounds taking a two-dimensional compact manifold T-2 as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes under quite general assumptions about these backgrounds on the bulk. Several special cases of gauge background on the torus are discussed and some simple fermionic zero modes axe obtained.

The AFM characterization of Ni(phen)(3)(2+) fixing effects on DNA

In this paper, the fixing and stretching effect of Ni(phen)(2+)(3) with different concentrations on DNA had been studied by Tapping mode AFM. Under an ambient condition, the high-resolution DNA images were obtained, the average height, width and length of well spread DNA molecules were measured. The results showed that because of the variations of ionic concentration, the density and topography of DNA molecules on substrate had a great difference. The AFM and gel electrophoresis results also showed that, under our experimental condition, DNA molecules kept intact, Ni(phen)(2+)(3) did not catalyze the cleavage activity of EcoRI, therefore, Ni (phen)(2+)(3) would be used to make high-resolution physical mapping of DNA by AFM.