TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.2.061
TI  - Boundary SymTFT
PY  - 2025/08/28
UR  - https://www.scipost.org/SciPostPhys.19.2.061
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 2
SP  - 061
A1  - Bhardwaj, Lakshya
AU  - Copetti, Christian
AU  - Pajer, Daniel
AU  - Schäfer-Nameki, Sakura
AB  - 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 $d=2,3$. 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.
ER  -

@Article{10.21468/SciPostPhys.19.2.061,
	title={{Boundary SymTFT}},
	author={Lakshya Bhardwaj and Christian Copetti and Daniel Pajer and Sakura Schäfer-Nameki},
	journal={SciPost Phys.},
	volume={19},
	pages={061},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.2.061},
	url={https://scipost.org/10.21468/SciPostPhys.19.2.061},
}