2014/09/21 by W. Beenakker, Beenakker, Wim, Walter D. van Suijlekom +3
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #Finite Group Theory Research #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1409.5982
openalex publication_date 2014/09/21 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28
Noncommutative geometry has seen remarkable applications for high energy\nphysics, viz. the geometrical interpretation of the Standard Model. The\nquestion whether it also allows for supersymmetric theories has so far not been\nanswered in a conclusive way. In this first of three papers we do a systematic\nanalysis of the possibilities for almost-commutative geometries on a\n4-dimensional, flat background to exhibit not only a particle content that is\neligible for supersymmetry but also have a supersymmetric action. We come up\nwith an approach in which we identify the basic 'building blocks' of\npotentially supersymmetric theories and the demands for their action to be\nsupersymmetric. Examples that satisfy these demands turn out to be sparse.\n