Quantization of Fayet-Iliopoulos parameters in supergravity

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.085010· OSTI ID:21541530

Distler, Jacques ^[1]; Sharpe, Eric ^[2]

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1. Department of Physics, University of Texas at Austin, Austin, Texas 78712-0264 (United States)
2. Physics Department, Virginia Tech, Blacksburg, Virginia 24061 (United States)

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.

• OSTI ID: 21541530
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
LIE GROUPS
QUANTIZATION
SIMULATION
SP GROUPS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES