Email this article Dirac matrices as elements of a superalgebraic matrix algebra
- Authors: Monakhov V.V.1
-
Affiliations:
- St. Petersburg State University
- Issue: Vol 80, No 8 (2016)
- Pages: 985-988
- Section: Proceedings of the LXV International Conference “Nucleus 2015. New Horizons in Nuclear Physics, Nuclear Engineering, Femto- and Nanotechnologies” (LXV International Meeting on Nuclear Spectroscopy and Nuclear Structure) (St. Petersburg, June–July 201
- URL: https://journals.rcsi.science/1062-8738/article/view/184789
- DOI: https://doi.org/10.3103/S1062873816080323
- ID: 184789
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Abstract
A Clifford extension of the Grassmann algebra is considered in which operators are built from products of Grassmann variables and derivatives with respect to them. It is shown that a subalgebra of operators, isomorphic to the usual matrix algebra, can be separated in this algebra, while the algebra itself is a generalization of the matrix algebra, contains superalgebraic operators expanding the matrix algebra, and produces transformations of supersymmetry.
About the authors
V. V. Monakhov
St. Petersburg State University
Author for correspondence.
Email: v.v.monahov@spbu.ru
Russian Federation, St. Petersburg, 198504
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