Fermionic observables in the transverse ising chain

Journal article, 2017

We introduce a notion of s-holomorphicity suitable for certain quantum spin systems in one dimension and define two observables in the critical transverse-field Ising model which have this property. The observables are defined using graphical representations in the complex plane and are analogous to Smirnov's fk-Ising and spin-Ising observables, respectively. We also briefly discuss scaling limits of these observables.