Holographic interpretation of two-dimensional O(N) models coupled to quantum gravity

TL;DR

This paper explores how two-dimensional O(N) models coupled to quantum gravity exhibit universality classes similar to lower-dimensional non-gravitating models, suggesting a holographic relationship between them.

Contribution

It demonstrates the universality of critical behaviors in gravitating models and their lower-dimensional counterparts, proposing a holographic interpretation.

Findings

Gravitating O(N) models match lower-dimensional statistical models in critical behavior.

Evidence supporting a holographic principle in two-dimensional quantum gravity.

Universality classes are preserved under coupling to quantum gravity.

Abstract

Various two-dimensional O(N) models coupled to Euclidean quantum gravity, whose intrinsic dimension is four, are shown to belong to universality classes of nongravitating statistical models in a lower number of dimensions. It is speculated that the matching critical behaviors in the gravitating and dimensionally reduced models may be manifestations of the holographic principle.