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 …

D-module representations of N=2,4,8 superconformal algebras and their superconformal mechanics

Z Kuznetsova, F Toppan - Journal of mathematical physics, 2012 - pubs.aip.org
D-module representations of |${\cal N}=2,4,8$|N=2,4,8 superconformal algebras and their
superconformal mechanics | Journal of Mathematical Physics | AIP Publishing Skip to Main …

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 …

From worldline to quantum superconformal mechanics with and without oscillatorial terms: and models

IE Cunha, NL Holanda, F Toppan - Physical Review D, 2017 - APS
In this paper, we quantize superconformal σ models defined by worldline supermultiplets.
Two types of superconformal mechanics, with and without a De Alfaro Fubini Furlan (DFF) …

Critical scaling dimension of D-module representations of N=4,7,8 superconformal algebras and constraints on superconformal mechanics

S Khodaee, F Toppan - Journal of mathematical physics, 2012 - pubs.aip.org
Critical scaling dimension of D-module representations of |${\cal N}=4,7,8$|N=4,7,8
superconformal algebras and constraints on superconformal mechanics | Journal of …

On dimensional extension of supersymmetry: from worldlines to worldsheets

SJ Gates Jr, T Hübsch - 2012 - projecteuclid.org
There exist myriads of off-shell worldline supermultiplets for (N≦32)-extended
supersymmetry in which every supercharge maps a component field to precisely one other …

Adinkras, 0-branes, Holoraumy and the SUSY QFT/QM Correspondence

M Calkins, DEA Gates, SJ Gates Jr… - International Journal of …, 2015 - World Scientific
We propose the recently defined" Holoraumy Tensor" to play a critical role in defining a
metric to establish a correspondence between 4D,-extended 0-brane-based valise …

On Clifford-algebraic dimensional extension and SUSY holography

SJ Gates Jr, T Hübsch, K Stiffler - International Journal of Modern …, 2015 - World Scientific
We analyze the group of maximal automorphisms of the N-extended worldline
supersymmetry algebra, and its action on off-shell supermultiplets. This defines a concept of" …

A Lorentz covariant holoraumy-induced “gadget” from minimal off-shell 4D, supermultiplets

SJ Gates, T Grover, MD Miller-Dickson… - Journal of High Energy …, 2015 - Springer
A bstract Starting from three minimal off-shell 4D,\(\mathcal {N}= 1\) supermultiplets, using
constructions solely defined within the confines of the four dimensional field theory we show …

The real anatomy of complex linear superfields

SJ Gates Jr, J Hallett, T Huebsch… - International Journal of …, 2012 - World Scientific
Recent work on classification of off-shell representations of N-extended worldline
supersymmetry without central charges has uncovered an unexpectedly vast number …