# Enej Ilievski: Superuniversality of superdiffusion

Source: Mathematical physics seminar

**Enej Ilievski*** (University of Ljubljana***)**

Emergence of anomalous transport laws in deterministic interacting
many-body systems has become a subject of intense study in the past few
years, a prominent example of which is the unexpected discovery of
superdiffusive spin dynamics in the isotropic Heisenberg quantum spin
chain, conjectured to belong to the Kardar-Parisi-Zhang universality
class. In this seminar, we will argue and theoretically justify why the
observed anomalous transport of the Noether charges with fractional
dynamical exponent z=3/2 is *superuniversal*, namely a feature of
all integrable interacting lattice models (and even quantum field
theories) which exhibit global symmetry of simple Lie group G (in
ensembles that fully preserve group invariance). The phenomenon can be
attributed to thermally dressed giant quasiparticles, whose properties
can be traced back to fusion relations among characters of certain
quantum groups called Yangians.

More information on the seminar webpage.

https://uni-lj-si.zoom.us/j/2816212459?pwd=UUs5MDdTNmVzRkorRmc3ZFNZTzVKQT09