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Résumé |
Two dimensional Conformal field theories (CFTs) describe many 2d classical and 1d quantum critical
points and in all well-studied cases are described by "rational" theories where the critical exponents and
central charge can be exactly determined and are rational numbers. "Irrational" CFTs, where an infinite
number of non-trivial scaling exponents exist are expected to be generic but have so far resisted a
concrete realization. In this talk, I will discuss a lattice model that provides a candidate for such a CFT as a
conformal phase of matter without fine-tuning. The model is constructed by coupling N ≥ 3 golden
anyon
chains. I will briefly describe the N=2 case, where a weakly first-order phase transition occurs and some
non-trivial CFTs appear as unstable fixed points. Then, for N = 3 we will show that a short RG flow occurs
towards a stable CFT in the infrared with c~2.09 which we conjecture to be irrational. |
