Supersymmetry without Grassmann variables

Supersymmetry without Grassmann variables

Supersymmetry transformations may be represented by unitary operators in a formulation of supersymmetry without numbers that anti-commute. The physical relevance of this formulation hinges on whether or not one may add states of even and odd fermion number, a question which soon may be settled by experiment.

Supersymmetry without Grassmann variables

Description of Vorticity by Grassmann Variables and an Extension to Supersymmetry

Hagen Kleinert’s early interest in particle physics quantum field theory served him well for his subsequent researches on statistical physics and collective phenomena. Therefore, on the occasion of a significant birthday, I offer him this essay, in which particle physics concepts are blended into a field theory for macroscopic phenomena: Fluid mechanics is enhanced by anticommuting Grassmann va...

Supersymmetry Without Supersymmetry

We present four-dimensional M -theory vacua with N > 0 supersymmetry which, from the perspective of perturbative Type IIA string theory, have N = 0. Such vacua can appear when the compactifying 7-manifold is a U(1) fibration. The missing superpartners are Dirichlet 0-branes. Someone unable to detect Ramond-Ramond charge would thus conclude that these worlds have no unbroken supersymmetry. In pa...

Supersymmetry without Supersymmetry

We investigate the possibility that supersymmetry is not a fundamental symmetry of nature, but emerges as an accidental approximate global symmetry at low energies. This can occur if the visible sector is nonsupersymmetric at high scales, but flows toward a strongly-coupled superconformal fixed point at low energies; or, alternatively, if the visible sector is localized near the infrared brane ...