Unveiling the skeleton of anyon models
Belén Paredes has developed a construction to systematically generate anyon models. Her construction uses a set of elementary pieces or fundamental anyon models, which constitute the building blocks to construct other, more complex, anyon models. To embody the construction she has developed a very physical, visual and intuitive lexicon. An anyon model corresponds to a system of bosons in a lattice.
Her construction reveals a self-similar anatomy for anyon models: an anyon model is a graph that is filled with bosons to engender a new graph that is again filled with bosons. Moreover, she discloses a geography in the space of anyon models, where one is born from another by deforming the geometry of space. Her work advances an alluring duality between anyon models and gravity.