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Boundary SymTFT
by Lakshya Bhardwaj, Christian Copetti, Daniel Pajer, Sakura Schäfer-Nameki
Submission summary
| Authors (as registered SciPost users): | Christian Copetti |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2409.02166v2 (pdf) |
| Date submitted: | 2025-02-04 16:48 |
| Submitted by: | Copetti, Christian |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study properties of boundary conditions (BCs) in theories with categorical (or non-invertible) symmetries. We describe how the transformation properties, or (generalized) charges, of BCs are captured by topological BCs of Symmetry Topological Field Theory (SymTFT), which is a topological field theory in one higher spacetime dimension. As an application of the SymTFT chracterization, we discuss the symmetry properties of boundary conditions for (1+1)d gapped and gapless phases. We provide a number of concrete examples in spacetime dimensions $d=2,3$. We furthermore expand the lattice description for (1+1)d anyon chains with categorical symmetries to include boundary conditions carrying arbitrary 1-charges under the symmetry.
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