Description
- Abstract:
- The representation theory of supersymmetry is further developed, starting from questions about the role of the symmetric group in 1D, N-extended supersymmetry and the construction of higher order supermultiplets from lower order supermultiplets. These questions lead to the discovery of an invariant ``magic’’ number that dictates the allowed elements in a supermultiplet analogously to a vertex graph coloring problem. The recursive construction of higher order supermultiplets from lower order supermultiplets is revealed to be operationally equivalent to the recursive construction of higher order permutohedra from lower order permutohedra. This provides a way to construct arbitrary N-extended supersymmetric theories. Conjectures are made about possible uses of this formalism in the constructon of Calabi-Yau manifolds and Grassmannians.
- Notes:
- Thesis (Ph. D.)--Brown University, 2023
Citation
Cianciara, Aleksander Josef,
"Recursive Construction of N-extended Supersymmetry Through Polytopic Representation Theory"
(2023).
Physics Theses and Dissertations.
Brown Digital Repository. Brown University Library.
https://repository.library.brown.edu/studio/item/bdr:8f596sqw/
