Supersymmetric objects in the M-theory on a pp-wave
Abstract
We obtain, in a systematic way, all the classical BPS equations which correspond to the quantum BPS states in the M-theory on a fully supersymmetric pp-wave. The superalgebra of the M-theory matrix model shows that the BPS states always preserve pairs of supersymmetry, implying the possible fractions of the unbroken supersymmetry as 2/16, 4/16, 6/16,.... We study their classical counterparts, and find there are essentially one unique set of 2/16 BPS equations, three inequivalent types of 4/16 BPS equations, and three inequivalent types of 8/16 BPS equations only, in addition to the 16/16 static fuzzy sphere. We discuss various supersymmetric objects as solutions. In particular, when the fuzzy sphere rotates, the supersymmetry is further broken as 16/16 -> 8/16 -> 4/16.
Cite
@article{arxiv.hep-th/0208161,
title = {Supersymmetric objects in the M-theory on a pp-wave},
author = {Jeong-Hyuck Park},
journal= {arXiv preprint arXiv:hep-th/0208161},
year = {2016}
}
Comments
1+25 pages, No figure, LaTeX, JHEP style; A reference and a comment on D0 added