TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.3.089
TI  - Non-invertible T-duality at any radius via non-compact SymTFT
PY  - 2025/03/11
UR  - https://scipost.org/SciPostPhys.18.3.089
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 3
SP  - 089
A1  - Argurio, Riccardo
AU  - Collinucci, Andrés
AU  - Galati, Giovanni
AU  - Hulík, Ondřej
AU  - Paznokas, Elise
AB  - We extend the construction of the T-duality symmetry for the 2d compact boson to arbitrary values of the radius by including topological manipulations such as gauging continuous symmetries with flat connections. We show that the entire circle branch of the $c=1$ conformal manifold can be generated using these manipulations, resulting in a non-invertible T-duality symmetry when the gauging sends the radius to its inverse value. Using the recently proposed symmetry TFT describing continuous global symmetries of the boundary theory, we identify the topological operator corresponding to these new T-duality symmetries as an open condensation defect of the bulk theory, constructed by (higher) gauging an $\mathbb{R}$ subgroup of the bulk global symmetries. Notably, when the boundary theory is the compact boson with a rational square radius, this operator reduces to the familiar T-duality defect described by a Tambara-Yamagami fusion category. This construction thus naturally includes all possible discrete T-duality symmetries of the theory in a unified way.
ER  -

@Article{10.21468/SciPostPhys.18.3.089,
	title={{Non-invertible T-duality at any radius via non-compact SymTFT}},
	author={Riccardo Argurio and Andrés Collinucci and Giovanni Galati and Ondrej Hulik and Elise Paznokas},
	journal={SciPost Phys.},
	volume={18},
	pages={089},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.3.089},
	url={https://scipost.org/10.21468/SciPostPhys.18.3.089},
}