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arXiv · 0903.2920

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

L. Fehér·P. A. Horváthy·L. O'Raifeartaigh
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Abstract

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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L. Fehér, P. A. Horváthy, L. O'Raifeartaigh. 2009-03-17. Applications of chiral supersymmetry for spin fields in self-dual backgrounds. https://arxiv.org/abs/0903.2920

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