Superstring Scattering Amplitudes with the Pure Spinor Formalism

Understand

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes.

• We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language have allowed an explicit relation among the massless four-point amplitudes at tree-level, one- and two-loops to be found.
• We show how these identities elegantly simplify the task of computing the amplitudes for all possible external state combination related by supersymmetry.
• In particular, the two-loop amplitudes involving fermionic states had never been computed before.