Dual Statistical Systems and Geometrical String

TL;DR

This paper explores dual statistical systems with interface energy proportional to edge length, revealing their relation to surface generation and their analogy to the 3D Ising and Gauge spin systems.

Contribution

It introduces a dual system framework that connects surface generation with high temperature expansion, expanding understanding of statistical dualities.

Findings

Dual systems generate surfaces with linear amplitude.

Dual systems relate to 3D Ising and Gauge spin models.

High temperature expansion of dual systems is characterized.

Abstract

We analyse statistical system with interface energy proportional to the length of the edges of interface. We have found the dual system high temperature expansion of which equally well generates surfaces with linear amplitude. These dual systems are in the same relation as 3D Ising ferromagnet to the 3D Gauge spin system.