Inflation on an Open Racetrack

We present a variant of warped D-brane inflation by incorporating multiple sets of holomorphically-embedded D7-branes involved in moduli stabilization with extent into a warped throat. The resultant D3-brane motion depends on the D7-brane configuration and the relative position of the D3-brane in these backgrounds. The non-perturbative moduli stabilization superpotential takes the racetrack form, but the additional D3-brane open string moduli dependence provides more flexibilities in model building. For concreteness, we consider D3-brane motion in the warped deformed conifold with the presence of multiple D7-branes, and derive the scalar potential valid for the entire throat. By explicit tuning of the microphysical parameters, we obtain inflationary trajectories near an inflection point for various D7-brane configurations. Moreover, the open racetrack potential admits approximate Minkowski vacua before uplifting. We demonstrate with a concrete D-brane inflation model where the Hubble scale during inflation can exceed the gravitino mass. Finally, the multiple sets of D7-branes present in this open racetrack setup also provides a mechanism to stabilize the D3-brane to metastable vacua in the intermediate region of the warped throat.Comment: 29 pages, 15 figures, pre-print number and references adde

Affine A^{(1)}_{3} N=2 monopole as the D module and affine ADHMN sheaf

A Higgs-Yang Mills monopole scattering spherical symmetrically along light cones is given. The left incoming anti-self-dual \alpha plane fields are holomorphic, but the right outgoing SD \beta plane fields are antiholomorphic, meanwhile the diffeomorphism symmetry is preserved with mutual inverse affine rapidity parameters \mu and \mu^{-1}. The Dirac wave function scattering in this background also factorized respectively into the (anti)holomorphic amplitudes. The holomorphic anomaly is realized by the center term of a quasi Hopf algebra corresponding to an integrable conform affine massive field. We find explicit Nahm transformation matrix(Fourier-Mukai transformation) between the Higgs YM BPS (flat) bundles (D modules) and the affinized blow up ADHMN twistors (perverse sheafs). Thus establish the algebra for the Hecke-'t Hooft operators in the Hecke correspondence of the geometric Langlands Program.Comment: Identical to the version 2 and only the acknowledgement is replace

Chemical composition of Fe-Mn manifestations from the Laptev Sea

In sediments of the Laptev Sea unknown earlier ferromanganese manifestations have been found. On the basis of structural-textural external signs they have been divided to five groups: 1) tube- and spindle-shaped pseudomorphs after and within invertebrates; 2) nuclear and non-nuclear nodules; 3) flagellum- and tube-like skeletons of polychaetes; 4) flat and flattened crustate nodules and crusts; 5) micronodules. All types of ferromanganese manifestations have been sorted in three main genetic series: eigenferrous formations of autochthonous (polychaetes, goethite micronodules) and allochthonous (nuclear nodules) nature; ferromanganese nodules formed under mild hydro-geodynamic conditions at the sediment-seawater geochemical barrier; and ferromanganese manifestations formed under conditions of the variable physico-chemical environment. Ferromanganese manifestations of allochthonous type have signs of littoral zones. They contain both ferrous and ferric iron and have low oxidation degree of manganese in comparison with the autochthonous type manifestations. Manganese minerals with moderate oxidation degree are represented by vernadite and buserite. Such features of iron and manganese indicate different conditions of their formation and occurrence. The main distinctive feature of ferromanganese mineralisation in the Laptev Sea is the redox barrier: the oxidized water layer enriched in oxygen and reduced sediments. This barrier provides favorable conditions for bacterial formation of ferromanganese ores. Understanding of the genesis of ferromanganese manifestations should be found in a study of organic matter reworking by bacteria