Work

3D Ising CFT and exact diagonalization on icosahedron: The power of conformal perturbation theory

Year: 2023

Type: article

Abstract: We consider the transverse field Ising model in (2+1)D, putting 12 spins at the vertices of the regular icosahedron. The model is tiny by the exact diagonalization standards, and breaks rotation invariance. Yet we show that it allows a meaningful comparison to the 3D Ising CFT on \mathbb{R}× S^2 ℝ × S 2 , by including effective perturbations of the CFT Hamiltonian with a handful of local operators. This extreme example shows the power of conformal perturbation theory in understanding finite N effects in models on regularized S^2 S 2 . Its ideal arena of application should be the recently proposed models of fuzzy sphere regularization.

Source: SciPost Physics

DOI: 10.21468/scipostphys.15.6.243

Authors: Bing-Xin Lao, Slava Rychkov

Institutions: École Normale Supérieure - PSL, Institut des Hautes Études Scientifiques

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Simons Foundation

Award: G7157448486