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Superfield integrals in high dimensions

Michael B. Green, Kasper Peeters, Christian Stahn

TL;DR

An efficient, covariant, graph-based method to integrate superfields over fermionic spaces of high dimensionality and has applications to the construction of higher-derivative supergravity actions as well as the computation of string and membrane vertex operator 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.

Superfield integrals in high dimensions

TL;DR

An efficient, covariant, graph-based method to integrate superfields over fermionic spaces of high dimensionality and has applications to the construction of higher-derivative supergravity actions as well as the computation of string and membrane vertex operator 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.