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    Quantization of Fayet-Iliopoulos parameters in supergravity

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    Date
    2011-04-08
    Author
    Distler, J.
    Sharpe, E.
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    Abstract
    In this short article we discuss quantization of the Fayet-Iliopoulos parameter in supergravity theories. We argue that, in supergravity, the Fayet-Iliopoulos parameter determines a lift of the group action to a line bundle, and such lifts are quantized. Just as D-terms in rigid N = 1 supersymmetry are interpreted in terms of moment maps and symplectic reductions, we argue that in supergravity the quantization of the Fayet-Iliopoulos parameter has a natural understanding in terms of linearizations in geometric invariant theory quotients, the algebro-geometric version of symplectic quotients.
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    http://hdl.handle.net/10919/24744
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    • Faculty Works, Department of Physics [768]

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