Superalgebra for M-theory on a pp-wave
Nakwoo Kim, Jeong-Hyuck Park
TL;DR
This paper analyzes the superalgebra of M-theory on a supersymmetric pp-wave, classifies BPS multiplets, and explores their spectrum and representation structure.
Contribution
It identifies the superalgebra as a specific special unitary Lie superalgebra and explicitly derives the conditions for typical and atypical representations.
Findings
Classified BPS multiplets with various preserved supercharges.
Derived the spectrum and energy bounds for these multiplets.
Showed the structure of lowest and highest energy floors in BPS states.
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, su(2|4;2,0) or 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 su(2) singlet or the highest energy floor is an su(4) singlet.
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