# Gonihedric Ising Actions

## TL;DR

This paper explores a generalized Ising model with complex interactions, exhibiting diverse phase transitions and a unique semi-global symmetry, potentially useful for discretizing string worldsheet theories.

## Contribution

It introduces a new generalized Ising action with multiple interaction terms and analyzes its phase transition behavior and symmetry properties.

## Key findings

- Displays both first and second order phase transitions.
- Possesses a novel semi-global symmetry.
- Potential application in string worldsheet discretization.

## Abstract

We discuss a generalized Ising action containing nearest neighbour, next to nearest neighbour and plaquette terms that has been suggested as a potential string worldsheet discretization on cubic lattices by Savvidy and Wegner. This displays both first and second order transitions depending on the value of a ``self-intersection'' coupling as well as possessing a novel semi-global symmetry.