Localisation on Sasaki-Einstein manifolds from holomophic functions on the cone

We study super Yang-Mills theories on five-dimensional Sasaki-Einstein manifolds. Using localisation techniques, we find that the contribution from the vector multiplet to the perturbative partition function can be calculated by counting holomorphic functions on the associated Calabi-Yau cone. This observation allows us to use standard techniques developed in the context of quiver gauge theories to obtain explicit results for a number of examples; namely $S^5$, $T^{1,1}$, $Y^{7,3}$, $Y^{2,1}$, $Y^{2,0}$, and $Y^{4,0}$. We find complete agreement with previous results obtained by Qiu and Zabzine using equivariant indices except for the orbifold limits $Y^{p,0}$ with $p > 1$.Comment: 18 page

On rigid supersymmetry and notions of holomorphy in five dimensions

We study the equations governing rigid N=1 supersymmetry in five dimensions. If the supersymmetry spinor satisfies a reality condition, these are foliations admitting families of almost complex structures on the leaves. In other words, all these manifolds have families of almost Cauchy-Riemann (CR) structures. After deriving integrability conditions under which circumstances the almost CR structure defines a CR manifold or a transversally holomorphic foliation (THF), we discuss implications on localization. We also discuss potential global obstructions to the existence of solutions.Comment: 14 pages; typos corrected; references adde

Supersymmetrizing 5d instanton operators

We construct a supersymmetric version of instanton operators in five-dimensional Yang-Mills theories. This is possible by considering a five-dimensional generalization of the familiar four-dimensional topologically twisted theory, where the gauge configurations corresponding to instanton operators are supersymmetric.Comment: 8 pages; v2: additional references added, typos correcte

Biology. Ecology, Larval Taxonomy, and Distribution of Hydropsychidae (Trichoptera) in Wisconsin

About 43.000 larvae and 1800 adults of Hydropsychidae from Wisconsin were studied. These included Diplectrona modesta, Macrostemum zebratum, Parapsyche apicalis, Potamyia flava, eight species of Ceratopsyche, and 11 species of Hydropsyche, but because their larvae cannot be identified the nine species of Cheumatopsyche known from Wisconsin were not included. Keys were developed to separate larvae of species of Ceratopsyche and Hydropsyche that were collected in Wisconsin or are likely to occur here, and notes are provided to facilitate identification of closely related species. Two forms of Ceratopsyche morosa are distinguished, and the larva of Hydropsyche pIacoda is described. Most species have univoltine or bivoltine life cycles in Wisconsin, but D. modesla probably has a semivoltine life cycle. The various species inhabit a wide range of lotic habitats, and Ceratopsyche alternans also inhabits lakeshores. Larvae of Hydropsyche orris, H. phalerata, and P. flava occur only in large rivers; those of Ceratapsyche alhedra, C. bronta, D. modesta, and Hydropsyche arinale occur only in smaIl streams. Tolerance to organic pollution varied widely, with C. morosa (morosa form. C.walkeri, D. modesta, Hydropsyche leonardi, and P. apicalis being found only in unpolluted streams, while C. morosa (bifida form) and Hydropyche betteni abounded in streams with significant organic enrichment. Larvae of some species were always associated with sandy substrates, others were found only in rocky or silt-bottomed streams. and species such as Hydropsyche bidens, H. orris, H. phalerata, H. placoda, H. simulans, and P. flava often burrowed into decaying wood

Riffle Beetles of Wisconsin (Coleoptera: Dryopidae, Elmidae, Lutrochidae, Psephenidae) With Notes on Distribution, Habitat, and Identification

Twenty-four species of Elmidae, three species of Psephenidae, two species of Dryopidae, and one species of Lutrochidae were represented among 33,351 riffle beetles that were identified from Wisconsin. Almost all were found in streams, but some inhabited wave-swept lake margins and spring-ponds. Adults and larvae of eight species were collected almost exclusively from submerged, decaying wood, while those of most other species inhabited rock or gravel substrates, especially in stream riffles, and only occasionally were found in wood; adults of three species of Dubiraphia were found also on macrophytes. The presence of Stenelmis antennalis, S. fuscata, and S. knobeli in Wisconsin represents significant range extensions