Weaving Worldsheet Supermultiplets from the Worldlines Within

Details Weaving Worldsheet Supermultiplets from the Worldlines Within Weaving Worldsheet Supermultiplets from the Worldlines Within

2011-04-15

arxiv.org/abs/1104.3135v1

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

Using the fact that every worldsheet may be ruled by two copies of worldlines, a restricted version of Weyl's construction of representations of algebras is used to extend the recent classification of off-shell supermultiplets of N-extended worldline supersymmetry to usual off-shell and also unidextrous (on-the-half-shell) supermultiplets of worldsheet (p,q)-supersymmetry with no central extension. In the process, a new class of error-correcting (even-split doubly-even linear block) codes is introduced and classified for p+q{\leq}8, providing a graphical method for classification of such codes, and thereby of so-projected supermultiplets.

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