Speaker
Description
Quantum groups are algebras which are known to play a role both in lattice models and in two dimensional CFTs. However, while in the case of lattice models they appear as global symmetries, the situation is more subtle in 2d CFTs. As an example, even if Virasoro minimal models have no quantum group global symmetry, the fusion kernel of Virasoro blocks in these theories contains the 6j symbols of a quantum group. But what does a 2d CFT with a quantum group as a genuine global symmetry look like? I will answer this in the case of the quantum group Uq(sl2), giving both the general picture and studying a specific example arising from the continuum limit of a lattice model. In some cases, this will also give an explanation for the appearance of Uq(sl2) in minimal models.
