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arXiv · hep-th/0509120

Pure Spinor Formalism as an N=2 Topological String

Nathan Berkovits
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Abstract

Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat c$=3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spin-one generator, and the formalism is interpreted as a critical topological string. Three applications of this topological string theory include the super-Poincare covariant computation of multiloop superstring amplitudes without picture-changing operators, the construction of a cubic open superstring field theory without contact-term problems, and a new four-dimensional version of the pure spinor formalism which computes F-terms in the spacetime action.

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Nathan Berkovits. 2005-09-15. Pure Spinor Formalism as an N=2 Topological String. https://doi.org/10.1088/1126-6708%2F2005%2F10%2F089

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