An Intersecting loop model as a solvable superspin chain

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.

statistical mechanics
model: spin
supersymmetry
loop space
integrability
Bethe ansatz
effect: finite size
critical phenomena
numerical calculations

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