Abstract
The general fluctuations, in the form of vertex operators, for the type II superstring in the pure spinor formalism are considered. We review the construction of these vertex operators in flat space-time. We then review the type II superstrings in curved background in the pure spinor formalism to finally construct the vertex operators on a generic type II supergravity background.
Highlights
Review of the type II superstring in a flat backgroundWe review the type II superstring in a flat ten-dimensional background using the pure spinor formalism
Besides unintegrated vertex operators, it is possible to study integrated vertex operators
The general fluctuations, in the form of vertex operators, for the type II superstring in the pure spinor formalism are considered
Summary
We review the type II superstring in a flat ten-dimensional background using the pure spinor formalism. This is not enough to describe the physical states of type II superstring. The equations (2.6) imply the existence of the superfields Amα and Aαm defined by. It is possible to construct covariant superfields by applying Dα and Dα to these equations. As it was shown in [9], we obtain the following defining relations. These relations help to find the integrated vertex operator. It is given through the following descent procedure. This statement is based on the existence of the conformal ghost b. We will describe the regime beyond the linearized level where Ω and Ω become the background Lorentz connections, E and E are the vielbein superfields and S becomes related to the superspace curvature
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