Immature stages of some eastern Nearctic Tabanidae (Diptera). IX. Chrysops beameri Brennan and Hybomitra trispila (Wiedemann)

The larvae and pupae of two species of Tabanidae (Diptera), Chrysops beameri Brennan and Hybomitra trispila (Wiedemann), are described and illustrated, and their similarities and differences relative to similar species are discussed. Comments are also provided on the larval habitats and the other species of immature Tabanidae associated with larvae of each species.Las larvas y pupas de dos especies de Tabanidae (Diptera), Chrysops beameri Brennan y Hybomitra trispila (Wiedemann), se describen e ilustran, y sus similitudes y diferencias con respecto a otras especies similares se discuten. Los comentarios son además, en el hábitat de las larvas y de las otras especies de Tabanidae inmaduros asociados con larvas de cada especie

Extended Conformal Symmetry

We show that the grading of fields by conformal weight, when built into the initial group symmetry, provides a discrete, non-central conformal extension of any group containing dilatations. We find a faithful vector representation of the extended conformal group and show that it has a scale-invariant scalar product and satisfies a closed commutator algebra. The commutator algebra contains the infinite Heisenberg and Virasoro algebras. In contrast to the classical treatment of scale invariance, covariant derivatives and gauge transformations automatically incorporate the correct conformal weights when the extended symmetry is gauged.Comment: 15 page