From supergeometry to pure spinors

Details From supergeometry to pure spinors From supergeometry to pure spinors

2010-12-15

arxiv.org/abs/1012.3334v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures

Scientific paper

In this talk, we review how the superspace formulation of maximally supersymmetric field theories (including supergravity) naturally leads to introduction of pure spinors and pure spinor superfields, and why the formalism provides off-shell formulations. This approach to pure spinor superfields thus stresses field-theoretic aspects rather than the first-quantised ones normally used e.g. in superstring theory. We discuss how the BRST operator arises and the principles behind constructions of actions, as well as the general Batalin-Vilkovisky framework. D=11 supergravity and its recently constructed supersymmetric action are taken as an example throughout the talk. This is the written version of a lecture given at the 6th Mathematical Physics Meeting, Belgrade, September 2010.

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