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Boundary SymTFT
by Lakshya Bhardwaj, Christian Copetti, Daniel Pajer, Sakura Schäfer-Nameki
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Christian Copetti · Daniel Pajer |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2409.02166v2 (pdf) |
| Date submitted: | Feb. 4, 2025, 4:48 p.m. |
| Submitted by: | Copetti, Christian |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| 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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Reports on this Submission
Strengths
- Clear physical exposition
- Good mixture of general statements and concrete and illustrative examples
Report
I do not have much more to add in terms of corrections beyond those identified by the first referee (another in the same spirit is "Its dimension..." instead of "It's dimension..." in the second line below (3.122)).
I would say that after the few minor changes requested by the first referee, it is ready for publication.
Requested changes
See referee 1's report (also see the trivial correction above).
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