# The BRST Double Complex for the Coupling of Gravity to Gauge Theories

@inproceedings{Prinz2022TheBD, title={The BRST Double Complex for the Coupling of Gravity to Gauge Theories}, author={David Prinz}, year={2022} }

We consider (eﬀective) Quantum General Relativity coupled to the Standard Model (QGR-SM) and study the corresponding BRST double complex. This double complex is generated by inﬁnitesimal diﬀeomorphisms and inﬁnitesimal gauge transformations. To this end, we deﬁne the respective BRST diﬀerentials P and Q and their corresponding anti-BRST diﬀerentials P and Q . Then we show that all diﬀerentials mutually anticommute, which allows us to introduce the total BRST diﬀerential D := P + Q and the total…

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