Pure Spinor Integration from the collating formula

por Luca Sommovigo (Università del Piemonte Orientale)

miércoles 15 dic. 2010 16:30 → 17:30 Europe/Madrid

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

We show how to construct well-defined BRST-invariant path integral formulation of pure spinor amplitudes in string theory. The space of pure spinors is analyzed from the algebraic geometry point of view, and seen as a collection of open sets where the constraints can be solved and a free independent set of variables can be defined. On the intersections of those open sets, the functional measure jumps and one has to add boundary terms to construct a well-defined path integral. The result is the definition of the pure spinor integration measure constructed in term of differential forms on each single patch.