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October 2013 Weaving worldsheet supermultiplets from the worldlines within
T. Hübsch
Adv. Theor. Math. Phys. 17(5): 903-974 (October 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 $p + q \leqslant 8$, 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.


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T. Hübsch. "Weaving worldsheet supermultiplets from the worldlines within." Adv. Theor. Math. Phys. 17 (5) 903 - 974, October 2013.


Published: October 2013
First available in Project Euclid: 21 August 2014

zbMATH: 1312.81119
MathSciNet: MR3262518

Rights: Copyright © 2013 International Press of Boston


Vol.17 • No. 5 • October 2013
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