Applications of chiral supersymmetry for spin fields in self-dual backgrounds

Details Applications of chiral supersymmetry for spin fields in self-dual backgrounds Applications of chiral supersymmetry for spin fields in self-dual backgrounds

2009-03-17

arxiv.org/abs/0903.2920v1

Int. Journ. Mod. Phys. A4, 5277-5285 (1989)

Physics

High Energy Physics

High Energy Physics - Theory

Neither the original text nor the list of references, published as Int. Journ. Mod. Phys. A4, 5277-5285 (1989), have been upda

Scientific paper

Due to chiral supersymmetry the (nonzero mode) spectral and symmetry properties of a 4-dimensional, self-dual Dirac-Yang-Mills operator $\D$ can be recovered from those of the corresponding scalar Laplacian $D^2$. It is shown that a similar result holds for higher spins, and that in the 4-vector case the super-symmetric partners are $-D^21_4$ and the fluctuation operator. The reduction to $D^2$ is used to simplify previous analyses of the (nonzero mode) spectrum of $\D$ and of the fluctuations for a BPS-monopole, and to explain the Kepler and su(2/2) (super)symmetries of a system studied recently by D'Hoker and Vinet.

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