Sasakian quiver gauge theories and instantons on cones over lens 5-spaces

We consider SU(3)-equivariant dimensional reduction of Yang Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki-Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang-Mills equations on the associated Calabi-Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as Kahler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces. (C) 2015 The Authors. Published by Elsevier B.V.

Instantons on Calabi–Yau cones

The Hermitian Yang–Mills equations on certain vector bundles over Calabi–Yau cones can be reduced to a set of matrix equations; in fact, these are Nahm-type equations. The latter can be analysed further by generalising arguments of Donaldson and Kronheimer used in the study of the original Nahm equations. Starting from certain equivariant connections, we show that the full set of instanton equations reduce, with a unique gauge transformation, to the holomorphicity condition alone.

Die Solling-Folge (Mittlerer Buntsandstein) im Grenzgebiet Niedersachsen - Thüringen - Hessen

This paper deals with the lithostratigraphic structure of the Solling sequence (Lower Triassic, Middle Buntsandstein) in the area between the Weser river region in the west and the Thuringian Eichsfeld region in the east. Lithologic profile mapping and the gamma-ray logs of several boreholes and 40 exposures have been used to define the lithostratigraphic Classification of the Solling sequence, to mark the facies zones and to find the connection between Sediments of the Thuringian basin in the east and the Weser fault trough via the crest of the Eichsfeld-Altmark Ridge. Tectonically controlled movements of synsedimentary character are the reason for the extreme convergence within the Solling sequence and the extreme Stratigraphie gap at its base (Hardegsen unconformity, Trusheim 1961) in the region of the swells. The discussion also demonstrates the importance of fault bundles active during Triassic and responsible for the thickness pattem of the Solling sequence between the Weser fault trough and the Eichsfeld-Altmark Ridge. The largest Stratigraphie gap is present at the line Brehme (Ohm Mountains) - Beuren - Treffurt where the Solling sequence covers Av/cn/a-bearing layers of the Volpriehausen sequence. In paiticular the Ridge sequences prove the existence of a further erosion unconformity within the Solling sequence (Solling unconformity, Kunz 1965) below the Thuringian Chirotheriensandstein as found by Rohling (1986) in the North German basin at the Stratigraphie level of the Karlshafen layers.