# Reflection positivity for extended topological field theories

### APA

Mueller, L. (2023). Reflection positivity for extended topological field theories. Perimeter Institute. https://pirsa.org/23100075

### MLA

Mueller, Lukas. Reflection positivity for extended topological field theories. Perimeter Institute, Oct. 05, 2023, https://pirsa.org/23100075

### BibTex

@misc{ pirsa_PIRSA:23100075, doi = {10.48660/23100075}, url = {https://pirsa.org/23100075}, author = {Mueller, Lukas}, keywords = {Mathematical physics}, language = {en}, title = {Reflection positivity for extended topological field theories}, publisher = {Perimeter Institute}, year = {2023}, month = {oct}, note = {PIRSA:23100075 see, \url{https://pirsa.org}} }

**Collection**

**Subject**

In quantum field theories, locality and unitarity are essential properties. For functorial field theories, locality is manifested through compatibility with cutting and gluing of manifolds, which can be fully encoded in the definition of fully extended functorial field theories. However, unitarity or reflection positivity (its Euclidean version) has so far only been defined for non-extended or invertible field theories. In this talk, I will address the challenge of defining reflection positivity for extended topological field theories, proposing a definition based on a version of higher dagger categories.

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