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Conformal anomalies in 6D four-derivative theories: A heat-kernel analysis

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Casarin,  Lorenzo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2306.05944.pdf
(Preprint), 237KB

PhysRevD.108.025014.pdf
(Publisher version), 247KB

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Citation

Casarin, L. (2023). Conformal anomalies in 6D four-derivative theories: A heat-kernel analysis. Physical Review D, 108(2): 025014. doi:10.1103/PhysRevD.108.025014.


Cite as: https://hdl.handle.net/21.11116/0000-000D-5FC6-A
Abstract
We compute the conformal anomalies for some higher-derivative (non-unitary)
6d Weyl invariant theories using the heat-kernel expansion in the
background-field method. To this aim we obtain the general expression for the
Seeley-DeWitt coefficient $b_6$ for four-derivative differential operators with
background curved geometry and gauge fields, which was known only in flat space
so far. We consider four-derivative scalars and abelian vectors as well as
three-derivative fermions, confirming the result of the literature obtained via
indirect methods. We generalise the vector case by including the curvature
coupling $FF \mathrm{Weyl}$.