Truncated Rozansky-Witten models as extended TQFTs

Nils Carqueville (U of Vienna)

Aug 22. 2022, 15:30 — 16:30

Rozansky-Witten models are candidates for 3-dimensional topological functorial field theories, constructed from non-semisimple data. Based on a path integral analysis, Kapustin and Rozansky proposed a rich 3-categorical structure that is expected to govern all Rozansky-Witten models and their defects. By truncation and restriction to affine geometries and their orbifolds, one obtains a symmetric monoidal (\infty,2)-category C. With the help of the cobordism hypothesis, we classify and explicitly compute extended TQFTs with values in C, based on joint work with I. Brunner, D. Roggenkamp, and L. Szegedy.

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)