Ising model on a twisted lattice with holographic renormalization-group flow

Abstract

The partition function of the 2D Ising model is exactly obtained on a lattice with a twisted boundary condition. The continuum limit of the model off the critical temperature is found to give the mass-deformed Ising conformal field theory on the torus with the complex structure Ⅎ. We find that the renormalization-group flow of the mass parameter can be holographically described in terms of the 3D gravity including a scalar field with a simple nonlinear kinetic function and a quadratic potential.