Codes and supersymmetry in one dimension

CF Doran, MG Faux, SJ Gates Jr, T Hübsch, KM Iga… - 2011 - projecteuclid.org
Adinkras are diagrams that describe many useful supermultiplets in D=1 dimensions. We
show that the topology of the Adinkra is uniquely determined by a doubly even code …

OSp (4| 2) superconformal mechanics

S Fedoruk, E Ivanov, O Lechtenfeld - Journal of High Energy …, 2009 - iopscience.iop.org
A new superconformal mechanics with OSp (4| 2) symmetry is obtained by gauging the U (1)
isometry of a superfield model. It is the one-particle case of the new Script N= 4 super …

Topology types of Adinkras and the corresponding representations of N-extended supersymmetry

CF Doran, MG Faux, SJ Gates Jr, T Hubsch… - arXiv preprint arXiv …, 2008 - arxiv.org
We present further progress toward a complete classification scheme for describing
supermultiplets of N-extended worldline supersymmetry, which relies on graph-theoretic …

[图书][B] Advanced concepts in particle and field theory

T Hübsch - 2016 - library.oapen.org
Uniting the usually distinct areas of particle physics and quantum field theory, gravity and
general relativity, this expansive and comprehensive textbook of fundamental and …

Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into ℓ-and ℓ-Equivalence Classes

SJ Gates Jr, K Iga, L Kang, V Korotkikh, K Stiffler - Symmetry, 2019 - mdpi.com
Recently, all 1,358,954,496 values of the gadget between the 36,864 adinkras with four
colors, four bosons, and four fermions have been computed. In this paper, we further …

SU(2) reduction in supersymmetric mechanics

S Krivonos, O Lechtenfeld - Physical Review D—Particles, Fields, Gravitation …, 2009 - APS
We perform an su (2) Hamiltonian reduction of the general su (2)-invariant action for a self-
coupled<? format?>(4, 4, 0) supermultiplet. As a result, we elegantly recover the N= 4 …

On the construction and the structure of off-shell supermultiplet quotients

T Huebsch, GA Katona - International Journal of Modern Physics A, 2012 - World Scientific
Recent efforts to classify representations of supersymmetry with no central charge [CF Doran
et al., Adv. Theor. Math. Phys. 15, 1909 (2011)] have focused on supermultiplets that are …

Supersymmetric extension of Hopf maps: N= 4 σ-models and the S3→ S2 fibration

LF Carvalho, Z Kuznetsova, F Toppan - Nuclear Physics B, 2010 - Elsevier
We discuss four off-shell N= 4D= 1 supersymmetry transformations, their associated one-
dimensional σ-models and their mutual relations. They are given by The I→ II map is the …

Two-center quantum MICZ–Kepler system and the Zeeman effect in the charge–dyon system

S Bellucci, V Ohanyan - Physics Letters A, 2008 - Elsevier
The quantum two-center MICZ–Kepler system is considered in the limit when one of the
interaction centers is situated at infinity, which leads to homogeneous electric and magnetic …

Unidexterously constrained worldsheet superfields

T Hübsch - Journal of Physics A: Mathematical and Theoretical, 2010 - iopscience.iop.org
Super-constrained superfields have provided for most of the best-known and oft-used
representations of supersymmetry. The Abelian nature of the Lorentz symmetry on the …