Presymplectic BV-AKSZ formulation of Conformal Gravity

Ivan Dneprov (Lomonosov Moscow SU)

Aug 12. 2022, 10:00 — 11:00

After a  brief review of the general presymplectic AKSZ approach we apply it to conformal gravity.  More specifically we identify a compatible presymplectic structure on the minimal model of the total BRST complex of the theory. Together with the BRST differential this structures determine a full-scale BV formulation for a specific frame-like action which seems to be not known before. Remarkably, the underlying frame-like description does not require any artificial off-shell constraints. Instead, the action becomes equivalent to the usual conformal gravity one upon gauging away all the pure gauge variables associated to the kernel of the symplectic structure.


Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U of Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)