TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.3.070
TI  - Quantum groups as global symmetries II. Coulomb gas construction
PY  - 2025/09/25
UR  - https://www.scipost.org/SciPostPhys.19.3.070
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 3
SP  - 070
A1  - Gabai, Barak
AU  - Gorbenko, Victor
AU  - Qiao, Jiaxin
AU  - Zan, Bernardo
AU  - Zhabin, Aleksandr
AB  - We study a conformal field theory that arises in the infinite-volume limit of a spin chain with $U_q(sl_2)$ global symmetry. Most operators in the theory are defect-ending operators which allows $U_q(sl_2)$ symmetry transformations to act on them in a consistent way. We use Coulomb gas techniques to construct correlation functions and compute all OPE coefficients of the model in closed form, as well as to prove that the properties imposed by the quantum group symmetry are indeed satisfied by the correlation functions. In particular, we treat the non-chiral operators present in the theory. Free boson realization elucidates the origin of the defects attached to the operators. We also comment on the role of quantum group in generalized minimal models.
ER  -

@Article{10.21468/SciPostPhys.19.3.070,
	title={{Quantum groups as global symmetries II. Coulomb gas construction}},
	author={Barak Gabai and Victor Gorbenko and Jiaxin Qiao and Bernardo Zan and Aleksandr Zhabin},
	journal={SciPost Phys.},
	volume={19},
	pages={070},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.3.070},
	url={https://scipost.org/10.21468/SciPostPhys.19.3.070},
}