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  • 1
    Electronic Resource
    Electronic Resource
    The Pfaffian line bundle (1992)
    Springer
    Communications in mathematical physics 149 (1992), S. 463-493 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We analyze the holomorphic Pfaffian line bundle defined over an infinite dimensional isotropic Grassmannian manifold. Using the infinite dimensional relative Pfaffian, we produce a Fock space structure on the space of holomorphic sections of the dual of this bundle. On this Fock space, an explicit and rigorous construction of the spin representations of the loop groupsLO n is given. We also discuss and prove some facts about the connection between the Pfaffian line bundle over the Grassmannian and the Pfaffian line bundle of a Dirac operator.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02096939
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