Dmitrij Volkov, super-Poincare group and Grassmann variables
A.A. Zheltukhin
TL;DR
This paper discusses the role of Grassmann variables in supersymmetry, highlighting how they led to the discovery of the super-Poincare group and insights into spontaneous symmetry breaking.
Contribution
It explores the fundamental connection between Grassmann variables and the super-Poincare group, emphasizing their importance in supersymmetry and related physical theories.
Findings
Grassmann variables are essential in describing supersymmetry.
The super-Poincare group arises from Grassmannian fermionic variables.
Spontaneous breaking and gauging of the super-Poincare group are discussed.
Abstract
A fundamental role of the Hermann Grassmann anticommuting variables both in physics and mathematics is discussed on the example of supersymmetry. The talk describes how the D. Volkov question about possibility of the existence of Nambu-Goldstone fermions, realized by the Grassmannian variables, resulted in the discovery of the super-Poincare group, its spontaneous breaking and gauging.
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