Codes and supersymmetry in one dimension. (English) Zbl 1276.81113

Doran, Charles F.; Faux, Michael G.; Gates, Sylvester James; Hübsch, Tristan; Iga, Kevin M.; Landweber, Gregory D.; Miller, Robert L.

Adv. Theor. Math. Phys. 15, No. 6, 1909-1970 (2011).

The main argument of this paper is of important significance for the code description of the supermultiplets in one dimension. In this article, the authors propose program between the code description and the topology of the Adinkras. The authors show that the topology of the Adinkras is uniquely determined by a doubly even code. The authors also clarify the conditions for a supermultiplet in one dimension to be described using an Adinkra, and present the code of an Adinkra chromotopology. The authors also list some instances of doubly even codes. With the introduction of doubly even codes, the significance of this paper is to open up the use of computer technology and software technology to achieve supermultiplet representation of supersymmetry.

Reviewer: Chen Yong-Qing (Shenzhen)

MSC:

81T60	Supersymmetric field theories in quantum mechanics
81T80	Simulation and numerical modelling (quantum field theory) (MSC2010)

Keywords:

codes; supersymmetry; Adinkra

Software:

SageMath