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arXiv · 1206.1600

A Kaluza-Klein inspired action for chiral p-forms and their anomalies

Federico Bonetti·Thomas W. Grimm·Stefan Hohenegger
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Abstract

The dynamics of chiral p-forms can be captured by a lower-dimensional parity-violating action motivated by a Kaluza-Klein reduction on a circle. The massless modes are (p-1)-forms with standard kinetic terms and Chern-Simons couplings to the Kaluza-Klein vector of the background metric. The massive modes are p-forms charged under the Kaluza-Klein vector and admit parity-odd first-order kinetic terms. Gauge invariance is implemented by a Stueckelberg-like mechanism using (p-1)-forms. A Chern-Simons term for the Kaluza-Klein vector is generated at one loop by massive p-form modes. These findings are shown to be consistent with anomalies and supersymmetry for six-dimensional supergravity theories with chiral tensor multiplets.

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Federico Bonetti, Thomas W. Grimm, Stefan Hohenegger. 2012-06-07. A Kaluza-Klein inspired action for chiral p-forms and their anomalies. https://doi.org/10.1016/j.physletb.2013.02.041

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