An Intersecting Loop Model as a Solvable Super Spin Chain
M. J. Martins, B. Nienhuis, R. Rietman
Abstract
In this paper we investigate an integrable loop model and its connection with a supersymmetric spin chain. The Bethe Ansatz solution allows us to study some properties of the ground state. When the loop fugacity q lies in the physical regime, we conjecture that the central charge is c=q-1 for q integer < 2. Low-lying excitations are examined, supporting a superdiffusive behavior for q=1. We argue that these systems are interesting examples of integrable lattice models realizing c ≤ 0 conformal field theories.
Create a lesson
Related papers
Maximum entropy explanation for the ubiquity of power-law mechanical responses
Sverre Holm
Thermodynamic Bethe Ansatz for the Toda chain from inverse scattering transform
Alberto Brollo
Lattice spin systems coupled to a compact U(1) gauge field with negative gauge coupling favoring frustration
Claudio Bonati, Ettore Vicari
The Inverse Mean First-Passage Time Problem
Tommer D. Keidar, Shlomi Reuveni, Igor M. Sokolov
Restricted triangular ice beyond the solvable manifolds: chiral ice and the critical region of dominant chiral vertices
Josep Batle
Establishing Néel order in the square-lattice antiferromagnetic Heisenberg model: a bootstrap proof
Nisarg Chadha, Taige Wang, Pavel A. Nosov et al.