Speaker
Description
The behaviour of quantum systems dramatically depends on the energy scale at which they are probed. In Quantum Field Theories this phenomenon is described as a Renormalization Group flow between the UV (low distance) behaviour and the IR (long distances).
Given an quantum field theory in 4 spacetime dimensions, it is often a very hard task the one of identifying what is the low energy dynamics of a given microscopic theory.
With the aim of gaining insights on this problem, in this talk I will present remarkable results that may be obtained by reducing the number of spacetime dimensions to 2. In the case of RG flows triggered by relevant deformation of 2d CFT, constraints from generalized (non-invertible) symmetries as well as from non-local conserved charges are often enough to constraints completely the IR phase. Non invertible symmetries are a generalization of the notion of standard symmetries. They are generated by the set of topological line defects of the theory, and do not form a group, rather a fusion category. A further generalization of topological symmetry may be obtained by considering defects that only commute with the Hamiltonian of the QFT, but not with its Stress Energy tensor, failing to be fully topological, but only translational invariance.
Combining these two powerful tools, we will illustrate how to constraint the RG flows.
| Keyword-1 | RG flows |
|---|---|
| Keyword-2 | Quantum Field Theory |