Conformal anomalies for (maximal) 6d conformal supergravity

verfasst von
Lorenzo Casarin, Christian Kennedy, Gabriele Tartaglino-Mazzucchelli
Abstract

We compute the conformal anomalies for 6d (2,0) conformal supergravity by direct calculation in component fields. The main novel results consist of the type-B anomaly coefficients for the gravitino and the 3-form, as well as their explicit quadratic action on some specific backgrounds. We also comment on the graviton contribution, whose Lagrangian is essentially given by the Q-curvature. We confirm the expectation that, when coupling (2,0) conformal supergravity to 26 copies of the (2,0) tensor multiplet, the resulting theory is free of conformal anomalies. We also consider the conformal anomalies for its (1,0) truncation and confirm their relation with the chiral anomaly polynomial recently derived. For calculating the anomalies, we work with an Einstein on-shell background and make a factorised Ansatz for the operators governing the quadratic fluctuations. This reduces the calculation to evaluating heat-kernel coefficients of standard 2-derivative operators. We fix and check our Ansatz against the explicit evaluation of the component-field supergravity action in some cases.

Organisationseinheit(en)
Institut für Theoretische Physik
Fakultät für Mathematik und Physik
Externe Organisation(en)
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
University of Queensland
Typ
Artikel
Journal
Journal of high energy physics
Band
2024
ISSN
1029-8479
Publikationsdatum
30.10.2024
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Elektronische Version(en)
https://doi.org/10.1007/JHEP10(2024)227 (Zugang: Offen)