Superfield integrals in high dimensions

TL;DR

This paper introduces a graph-based method for efficiently integrating superfields over high-dimensional fermionic spaces, with applications in supergravity and string theory calculations.

Contribution

It presents a novel covariant graph-based approach for superfield integration in high dimensions, demonstrated through a 16-dimensional Majorana-Weyl integral.

Findings

Efficient computation of high-dimensional superfield integrals.

Application to supergravity action construction.

Calculation of string and membrane vertex correlators.

Abstract

We present an efficient, covariant, graph-based method to integrate superfields over fermionic spaces of high dimensionality. We illustrate this method with the computation of the most general sixteen-dimensional Majorana-Weyl integral in ten dimensions. Our method has applications to the construction of higher-derivative supergravity actions as well as the computation of string and membrane vertex operator correlators.