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arXiv · 1008.0419

Quantization of Fayet-Iliopoulos Parameters in Supergravity

Jacques Distler·Eric Sharpe
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Abstract

In this short note 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 (GIT) quotients, the algebro-geometric version of symplectic quotients.

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Jacques Distler, Eric Sharpe. 2010-08-02. Quantization of Fayet-Iliopoulos Parameters in Supergravity. https://doi.org/10.1103/physrevd.83.085010

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