2024/10/31 by Barak Gabai, Gabai, Barak, V. Gorbenko +7 · 3 citations
Physics and Astronomy · Social Sciences · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #International Science and Diplomacy #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2410.24143
openalex publication_date 2024/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a conformal field theory that arises in the infinite-volume limit of a spin chain with Uq(sl2) global symmetry. Most operators in the theory are defect-ending operators which allows Uq(sl2) 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, 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.