Year: 2002
Type: article
Abstract: We study the superalgebra of the M theory on a fully supersymmetric pp wave. We identify the algebra as the special unitary Lie superalgebra, $\mathrm{su}(2|4;2,0)$ or $\mathrm{su}(2|4;2,4),$ and analyze its root structure. We discuss the typical and atypical representations deriving the typicality condition explicitly in terms of the energy and other four quantum numbers. We classify the BPS multiplets preserving 4, 8, 12, 16 real supercharges and obtain the corresponding spectrum. We show that in the BPS multiplet either the lowest energy floor is an $\mathrm{su}(2)$ singlet or the highest energy floor is an $\mathrm{su}(4)$ singlet.
Authors: Nakwoo Kim, Jeong-Hyuck Park
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2145742928