A construction of integrated vertex operator in the pure spinor sigma-model in AdS5xS5

Abstract

Vertex operators in string theory come in two varieties: integrated and unintegrated. Understanding both types is important for the calculation of the string theory amplitudes. The relation between them is a descent procedure typically involving the b-ghost. In the pure spinor formalism vertex operators can be identified as cohomology classes of an infinite-dimensional Lie superalgebra formed by covariant derivatives. We show that in this language the construction of the integrated vertex from an unintegrated vertex is very straightforward, and amounts to the evaluation of the cocycle on the generalized Lax currents.

LaTeX 13pp; v2: correction in Section 4.1

References in corpus (3)

• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Dynamical twisting and the b ghost in the pure spinor formalism
• The b Ghost of the Pure Spinor Formalism is Nilpotent

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• Supertwistor description of the $AdS$ pure spinor string
• Ambitwistor strings and amplitudes in curved backgrounds