A Journey Through Garden Algebras

Abstract

The main purpose of these lectures is to give a pedagogical overview on the possibility to classify and relate off-shell linear supermultiplets in the context of supersymmetric mechanics. A special emphasis is given to a recent graphical technique that turns out to be particularly effective for describing many aspects of supersymmetric mechanics in a direct and simplifying way.

50 pages, based on lectures delivered at the Winter School on Modern Trends in Supersymmetric Mechanics 7 - 12 March 2005, Frascati, Italy

References in corpus (8)

• Adinkras: A Graphical Technology for Supersymmetric Representation Theory
• ABC of N=8, d=1 supermultiplets
• "Root" Action for N=4 Supersymmetric Mechanics Theories
• When Superspace Is Not Enough
• N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
• Two-dimensional N=8 supersymmetric mechanics in superspace
• N=8 Nonlinear Supersymmetric Mechanics
• 2k-dimensional N=8 supersymmetric quantum mechanics

Cited by in corpus (10)

• Gauging N=4 Supersymmetric Mechanics
• Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones
• Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
• Superfield Formulation of Nonlinear N=4 Supermultiplets
• N=3 Superparticle Model
• N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
• N=8 supersymmetric mechanics on the sphere S^3
• Unidexterously Constrained Worldsheet Superfields
• A Note On Exemplary Off-Shell Constructions Of 4D, $\mathcal{N}$ = 2 Supersymmetry Representations
• Universal Superfield Action for $N=8\to N=4$ Partial Breaking of Global Supersymmetry in D=1