REVIEW 4 cited by
Generalized supersymmetry and L\'evy-Leblond equation
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
The symmetries of the L\'evy-Leblond equation are investigated beyond the standard Lie framework. It is shown that the equation has two remarkable symmetries. One is given by the super Schr\"odinger algebra and the other one by a $\ZZ$ graded Lie algebra. The $\ZZ$ graded Lie algebra is achieved by transforming bosonic into fermionic operators in the super Schr\"odinger algebra and introducing second order differential operators as generators of symmetry.
Forward citations
Cited by 4 Pith papers
-
Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework
Color Heisenberg-Lie (super)algebras graded by Z3×Z3 provide a unified framework for mixed-bracket parabosons and parafermions, reproducing s=3,6 braided Majorana qubit truncations and a new two-particle density signature.
-
On the Classification of the L\'evy-Leblond Spinors
Lévy-Leblond spinors come in real, complex, quaternionic, and chiral types, and the 1+1 conformal case realizes the osp(1|2) superalgebra.
-
On the detectability of paraparticles beyond bosons and fermions
The paper argues that Z2xZ2-graded paraparticles are theoretically detectable through two-particle observables, and sketches a minimal experimental protocol.
-
On braid statistics versus parastatistics
A report on results that claim to refute the conventionality of parastatistics using 2-bit paraparticles, plus a review of braided Majorana qubits for topological quantum computation.
Discussion (0). Continue with ORCID to comment.