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Superfield integrals in high dimensions

2005/06/20 by Michael Green, Michael B. Green, Kasper Peeters +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/08/093

published as JHEP 0508 (2005) 093 · 13 pages, 6 figures

arxiv created 2005/06/20 · openalex publication_date 2005/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Citations