Lie algebroids on (pre-mutli)symplectic manifolds and topological sigma models

Noriaki Ikeda (Ritsumeikan U, Kusatsu)

Aug 19. 2022, 10:00 — 11:00

We consider a Lie algebroid $E$ on a (pre-mutli)symplectic manifold $M$ and suppose that there exists a special $E$-$n$-form compatible with two structures.
We point out that many interesting geometric structures have this structure.
Some examples are a momentum map, a momentum section, the twisted Poisson structure and the R-twisted Poisson structure, etc. Its Q-manifold and higher Lie $n$-algebroid descriptions are analyzed. We show that a topological sigma model with WZ term in $n$ dimensions has this structure, which is regarded as a generalization of an AKSZ sigma model.


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)