Weaving worldsheet supermultiplets from the worldlines within
Tristan Hübsch · Advances in Theoretical and Mathematical Physics · 2013
Using the fact that every worldsheet is ruled by two (light-cone) copies of worldlines, the recent classification of off-shell supermultiplets of N -extended worldline supersymmetry is extended to construct standard 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 8, providing a graphical method for classification of such codes and supermultiplets.This also classifies quotients by such codes, of which many are not tensor products of worldline factors.Also, supermultiplets that admit a complex structure are found to be depictable by graphs that have a hallmark twisted reflection symmetry.