Abstract
The relation between Kac-Moody groups and algebras and the determinant line bundle of the massless Dirac operator in two dimensions is clarified. Analogous objects are studied in four space-time dimensions and a generalization of Witten's fermionization mechanism is presented in terms of the topology of the Dirac determinant bundle.
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Communicated by S.-T. Yau
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Mickelsson, J. Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization. Commun.Math. Phys. 110, 173–183 (1987). https://doi.org/10.1007/BF01207361
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DOI: https://doi.org/10.1007/BF01207361