Pure Spinor Integration from the Collating Formula

Details Pure Spinor Integration from the Collating Formula Pure Spinor Integration from the Collating Formula

2010-09-20

arxiv.org/abs/1009.3874v1

Nucl.Phys.B849:675-692,2011

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1016/j.nuclphysb.2011.04.001

We use the technique developed by Becchi and Imbimbo to construct a well-defined BRST-invariant path integral formulation of pure spinor amplitudes. The space of pure spinors can be viewed from the algebraic geometry point of view 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.

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