Enumerative gadget phenomena for -adinkras
Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 1, pp. 89-118.
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Adinkras are combinatorial objects developed to study supersymmetry representations. Gates et al. introduced the gadget as a function of pairs of adinkras, obtaining some mysterious results for ( ) adinkras with computer-aided computation. Specifically, very few values of the gadget actually appear, suggesting a great deal of symmetry in these objects. In this paper, we compute gadgets symbolically and explain some of these observed phenomena with group theory and combinatorics. Guided by this work, we give some suggestions for generalizations of the gadget to other values of the and parameters.
Publié le :
DOI : 10.4171/aihpd/98
DOI : 10.4171/aihpd/98
Classification :
05-XX, 20-XX
Mots-clés : Adinkras, supersymmetry, gadgets, inner products
Mots-clés : Adinkras, supersymmetry, gadgets, inner products
@article{AIHPD_2021__8_1_89_0, author = {Friend, Isaac and Kostiuk, Jordan and Zhang, Yan X}, title = {Enumerative gadget phenomena for $(4, 1)$-adinkras}, journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D}, pages = {89--118}, volume = {8}, number = {1}, year = {2021}, doi = {10.4171/aihpd/98}, mrnumber = {4228620}, zbl = {1465.81039}, language = {en}, url = {http://archive.numdam.org/articles/10.4171/aihpd/98/} }
TY - JOUR AU - Friend, Isaac AU - Kostiuk, Jordan AU - Zhang, Yan X TI - Enumerative gadget phenomena for $(4, 1)$-adinkras JO - Annales de l’Institut Henri Poincaré D PY - 2021 SP - 89 EP - 118 VL - 8 IS - 1 UR - http://archive.numdam.org/articles/10.4171/aihpd/98/ DO - 10.4171/aihpd/98 LA - en ID - AIHPD_2021__8_1_89_0 ER -
%0 Journal Article %A Friend, Isaac %A Kostiuk, Jordan %A Zhang, Yan X %T Enumerative gadget phenomena for $(4, 1)$-adinkras %J Annales de l’Institut Henri Poincaré D %D 2021 %P 89-118 %V 8 %N 1 %U http://archive.numdam.org/articles/10.4171/aihpd/98/ %R 10.4171/aihpd/98 %G en %F AIHPD_2021__8_1_89_0
Friend, Isaac; Kostiuk, Jordan; Zhang, Yan X. Enumerative gadget phenomena for $(4, 1)$-adinkras. Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 1, pp. 89-118. doi : 10.4171/aihpd/98. http://archive.numdam.org/articles/10.4171/aihpd/98/
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