Higher categories of push-pull spans, II: Matrix factorizations
Abstract
This is the second part of a project aimed at formalizing Rozansky-Witten models in the functorial field theory framework. In the first part we constructed a symmetric monoidal $(\infty,3)$-category $\mathcal{C}\mathcal{RW}$ of commutative Rozansky-Witten models with the goal of approximating the 3-category of Kapustin and Rozansky. In this paper we extend work of Brunner, Carqueville, Fragkos, and Roggenkamp on the affine Rozansky-Witten models: we exhibit a functor connecting their 2-category of matrix factorizations with the homotopy 2-category of $\mathcal{C}\mathcal{RW}$, and calculate the associated TFTs.
Fields of Study & Subjects
Dynamics and Control of Mechanical Systems
Structural Analysis and Optimization
Structural Engineering and Vibration Analysis
Publication details
- Journal / source
- Homology Homotopy and Applications
- Volume
- 28
- Issue
- 2
- Pages
- 19–43
- Publication date
- 1 January 2026
- Language
- EN