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 Stückelberg-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.
Highlights
AND SUMMARYChiral p-forms are p-forms with self-dual or anti-selfdual field strength
A circle compactification leads us to a (D − 1)dimensional action which can be used to study the dynamics of these p-forms
This approach is inspired by recent insights into string and M-theory effective actions
Summary
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 Stuckelberg-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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