Examples of 4D, N = 2 Holoraumy
S. J. Gates, Jr., and S.-N. Hazel Mak
TL;DR
This paper introduces holoraumy tensors and Gadget angles in 4D N=2 supermultiplets, calculating these for minimal off-shell supermultiplets and revealing geometric structures like tetrahedrons in the Holoraumy lattice.
Contribution
It provides the first detailed calculation of holoraumy tensors and Gadget angles in 4D N=2 supermultiplets, exploring their geometric properties.
Findings
Identification of four tetrahedrons in the Holoraumy lattice space
Calculation of holoraumy tensors and Gadget angles for minimal supermultiplets
Establishment of geometric structures in supermultiplet space
Abstract
We provide an introduction to the concepts of holoraumy tensors, Lorentz covariant four-dimensional "Gadgets", and Gadget angles within the context of 4D N = 2 supermultiplets. This is followed by the calculation of the holoraumy tensors, Gadgets, and Gadget angles for minimal off-shell supermultiplets. Four tetrahedrons in four 3D subspaces of the Holoraumy lattice space are found.
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