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Boundary SymTFT

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 characterization, 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 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/scipostphys.19.2.061

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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0002-3822-8997
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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0001-7295-0660
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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0002-8493-7735
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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0003-0138-0407


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Funder identifier:
https://ror.org/001aqnf71


Publisher:
SciPost
Journal:
SciPost Physics More from this journal
Volume:
19
Issue:
2
Pages:
061
Publication date:
2025-08-28
DOI:
EISSN:
2542-4653
ISSN:
2542-4653


Language:
English
Keywords:
Pubs id:
2284806
UUID:
uuid_d5019446-e7ea-4c51-9e60-8c25f616386b
Local pid:
pubs:2284806
Source identifiers:
W4413772512
Deposit date:
2025-11-08
ARK identifier:
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