Type I Supergravity Effective Action from Pure Spinor Formalism

TL;DR

This paper uses the pure spinor formalism to compute tree-level correlation functions involving open and closed strings, deriving the effective action for type I supergravity and confirming its consistency with known results.

Contribution

It demonstrates that the pure spinor formalism can successfully reproduce the type I supergravity effective action from first principles.

Findings

All derived terms match the known effective action.

Provides a new consistency check for the pure spinor formalism.

Validates the formalism's applicability to supergravity calculations.

Abstract

Using the pure spinor formalism, we compute the tree-level correlation functions for three strings, one closed and two open, in N=1 D=10 superspace. Expanding the superfields in components, the respective terms of the effective action for the type I supergravity are obtained. All terms found agree with the effective action known in the literature. This result gives one more consistency test for the pure spinor formalism.