Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-14
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 1 figure
Scientific paper
In this paper we revisit Berkovits' pure spinor formalism in lower dimensions. We are particularly interested in relating a six-dimensional pure spinor action previously constructed in the literature to other superstring formalisms. In order to gain some insight into six-dimensional pure spinors, we first derive their action by gauge-fixing the classical six-dimensional Green-Schwarz action. We then consider a hybrid pure spinor construction in which the spacetime symmetries of six of the ten dimensions are described in pure spinor variables, while the remaining four dimensions are parameterized in terms of RNS variables. We relate this pure spinor formalism to the Berkovits-Vafa-Witten hybrid formalism of string theory on R^6 x T^4.
Gerigk Sebastian
Kirsch Ingo
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