Correlation Functions in Berkovits' Pure Spinor Formulation

TL;DR

This paper computes three-point correlation functions in the pure spinor formulation of superstring theory, providing explicit vertex operators and results in flat space with potential extensions to AdS5 x S5.

Contribution

It derives explicit vertex operators for graviton and axion in Berkovits' pure spinor formalism and computes their three-point functions in flat space.

Findings

Explicit vertex operators for graviton and axion.

Tree-level three-point correlation functions in flat space.

Discussion on extending results to AdS5 x S5.

Abstract

We use Berkovits' pure spinor quantization to compute various three-point tree correlation functions in position-space for the Type IIB superstring. We solve the constraint equations for the vertex operators and obtain explicit expressions for the graviton and axion components of the vertex operators. Using these operators we compute tree level correlation functions in flat space and discuss their extension to the AdS5 X S5 background.