Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations
High Energy Physics - Theory
2025-04-28 v4 Representation Theory
Abstract
We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this relationship to be ephemeral beyond six dimensions: it is not demanded by the structure of such supersymmetrical theories. In four dimensions for the case of the vector-tensor = 4 multiplet, however, we show that such a linkage is present. Reduction to 1D theories presents evidence for a linkage from higher-dimensional supersymmetry to an infinite-dimensional algebra extending .
Keywords
Cite
@article{arxiv.2010.06124,
title = {Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations},
author = {S. James Gates, and Gabriel Hannon and Rui Xian Siew and Kory Stiffler},
journal= {arXiv preprint arXiv:2010.06124},
year = {2025}
}
Comments
40 pages, includes connections to 4D, N=4 Vector Chiral multiplet and SM-i sub-multiplets, corrected some typos, updated institutional affiliations