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Supersymmetry and noncommutative geometry [electronic resource] / Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom.

9783319247984 (electronic book)
3319247980 (electronic book)
9783319247960
3319247964

Cham : Springer, [2016]

©2016

English

1 online resource : illustrations.

10.1007/978-3-319-24798-4 doi

QC174.17.S9

539.7/25

In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic 'building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories.

Includes bibliographical references.

Access limited to authorized users.

Online resource; title from PDF title page (viewed October 28, 2015).

SpringerBriefs in mathematical physics ; v. 9.

Print version: 9783319247960

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