On gauge transformation property of coordinate independent SO(9) vector states in SU(2) Matrix Theory

Details On gauge transformation property of coordinate independent SO(9) vector states in SU(2) Matrix Theory On gauge transformation property of coordinate independent SO(9) vector states in SU(2) Matrix Theory

2010-08-16

arxiv.org/abs/1008.2580v4

JHEP 09(2010)075

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figure, v2: minor correction v3: signs in (3.46) and (3.51) corrected, further calculation on the linear term of

Scientific paper

We investigate coordinate independent SO(9) vector states in SU(2) Matrix theory. There are 36 vector states, and we determine what representations of SU(2) they are decomposed into. Among them we find a unique set of states transforming in adjoint representation. We show that this set of states can appear as the linear term in the coordinate matrices in Taylor expansion of zero energy bound state wavefunction around the origin i.e. it satisfies the condition of full supersymmetry.

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