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D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics
Zhanna Kuznetsova, Francesco Toppan
The linear (homogeneous and inhomogeneous) (k, N, N-k) supermultiplets of the N-extended one-dimensional Supersymmetry Algebra induce D-module representations for the N=2,4,8 super…
Twisted Superalgebras and Cohomologies of the N=2 Superconformal Quantum Mechanics
Laurent Baulieu, Francesco Toppan
We prove that the invariance of the N=2 superconformal quantum mechanics is controlled by subalgebras of a given twisted superalgebra made of 6 fermionic (nilpotent) generators and…
An N=8 superconformal particle in the half-plane
Olaf Lechtenfeld, Francesco Toppan
By imposing global supersymmetry and scale invariance we construct an N=8 superconformal mechanical system based on the inhomogeneous (2,8,6) linear multiplet. The unique action de…
On Chiral and Nonchiral 1D Supermultiplets
Francesco Toppan
In this talk I discuss and clarify some issues concerning chiral and nonchiral properties of the one-dimensional supermultiplets of the N-Extended Supersymmetry. Quaternionic chira…
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
P. G. Castro, B. Chakraborty, R. Kullock +1
Noncommutative oscillators are first-quantized through an abelian Drinfel'd twist deformation of a Hopf algebra and its action on a module. Several important and subtle issues maki…