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

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.

LaTeX, 40pp; v2: small corrections; v3: small corrections, added Section 4.6

References in corpus (2)

• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• A construction of integrated vertex operator in the pure spinor sigma-model in AdS5xS5

Cited by in corpus (1)

• Normal form of nilpotent vector field near the tip of the pure spinor cone