Topological Amplitude Computations using the Pure Spinor Formalism

TL;DR

This paper develops a simplified four-dimensional b ghost and computes topological multiloop amplitudes in type II superstring theory using the pure spinor formalism, preserving supersymmetry and extending to non-topological cases.

Contribution

It introduces a new simplified b ghost in four dimensions and applies the pure spinor formalism to compute multiloop amplitudes in a compactified superstring setting.

Findings

Successfully constructed a 4D b ghost

Computed multiloop amplitudes preserving N=2 D=4 supersymmetry

Extended amplitude computations to non-topological cases

Abstract

After constructing a simplified four-dimensional version of the b ghost, topological multiloop amplitudes in type II superstring theory compactified on a six-dimensional orbifold are computed using the non-minimal pure spinor formalism. These pure spinor amplitude computations preserve manifest $N = 2$ $D = 4$ supersymmetry and, unlike the analogous topological multiloop amplitude computations using the hybrid formalism, can be extended to non-topological amplitudes.