Unitary representations of super semidirect products and applications to super particle classification

por V. Varadarajan (Mthematics department, UCLA)

lunes 11 abr. 2005 11:00 → 12:00 Europe/Madrid

Sala Seminarios (Dpto. de Física Teórica (UVEG))

Super geometry is a generalization of differential (and algebraic) geometry where the local rings contain both commuting and anticommuting coordinates. It was discovered by the physicists in the early 1970's and it has played an important theoretical role in high energy physics since then. The anticommuting coordinates are nilpotent and so they cannot be measured. Consequently, the techniques of the Grothendieck theory of schemes have to be used in the study of super geometric objects. This talk sketches the main outlines of super geometry, its relation to spacetime at small distances, and its implications for particle classification and detection.