Applications of chiral supersymmetry for spin fields in self-dual backgrounds
Abstract
Due to chiral supersymmetry the (nonzero mode) spectral and symmetry properties of a 4-dimensional, self-dual Dirac-Yang-Mills operator can be recovered from those of the corresponding scalar Laplacian . It is shown that a similar result holds for higher spins, and that in the 4-vector case the super-symmetric partners are and the fluctuation operator. The reduction to is used to simplify previous analyses of the (nonzero mode) spectrum of 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.
Keywords
Cite
@article{arxiv.0903.2920,
title = {Applications of chiral supersymmetry for spin fields in self-dual backgrounds},
author = {L. Fehér and P. A. Horváthy and L. O'Raifeartaigh},
journal= {arXiv preprint arXiv:0903.2920},
year = {2009}
}
Comments
Neither the original text nor the list of references, published as Int. Journ. Mod. Phys. A4, 5277-5285 (1989), have been updated. We dedicate this electronic version to the memory of Lochlainn O'Raifeartaigh, our late teacher, collaborator and friend