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arXiv · 1503.01005

On the construction of integrated vertex in the pure spinor formalism in curved background

Andrei Mikhailov
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Abstract

We have previously described a way of describing the relation between unintegrated and integrated vertex operators in AdS5xS5 which uses the interpretation of the BRST cohomology as a Lie algebra cohomology and integrability properties of the AdS background. Here we clarify some details of that description, and develop a similar approach for an arbitrary curved background with nondegenerate RR bispinor. For an arbitrary curved background, the sigma-model is not integrable. However, we argue that a similar construction still works using an infinite-dimensional Lie algebroid.

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Andrei Mikhailov. 2015-06-24. On the construction of integrated vertex in the pure spinor formalism in curved background. https://doi.org/10.1016/j.nuclphysb.2016.04.004

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