# Publications by John Wheater

## Sums of random matrices and the Potts model on random planar maps

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL **49** (2016) ARTN 185201

## Boundary states of the potts model on random planar maps

1st Karl Schwarzschild Meeting on Gravitational Physics Springer Verlag **170** (2015) 387-393

We revisit the 3-states Potts model on random planar triangulations as a Hermitian matrix model. As a novelty, we obtain an algebraic curve which encodes the partition function on the disc with both fixed and mixed spin boundary conditions. We investigate the critical behaviour of this model and find scaling exponents consistent with previous literature. We argue that the conformal field theory that describes the double scaling limit is Liouville quantum gravity coupled to the (A4, D4) minimal model with extended W3-symmetry.

## A restricted dimer model on a two-dimensional random causal triangulation

Journal of Physics A: Mathematical and Theoretical IOP Publishing **47** (2014) 365001-365001

We introduce a restricted hard dimer model on a random causal triangulation that is exactly solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett. B 712 445–50). We show that the latter model exhibits unusual behaviour at its multicritical point; in particular, its Hausdorff dimension equals 3 and not $3/2$ as would be expected from general scaling arguments. When viewed as a special case of the generalized model introduced here we show that this behaviour is not generic and therefore is not likely to represent the true behaviour of the full dimer model on a random causal triangulation.

## Spectral dimension flow on continuum random multigraph

SIXTH INTERNATIONAL SCHOOL ON FIELD THEORY AND GRAVITATION-2012 **1483** (2012) 455-460

## Charged boundary states in a Z(3) extended minimal string

INT J MOD PHYS A **23** (2008) 2257-2259

In this poster, we study the boundary states of the three-state Potts model coupled to two dimensional gravity, which we call Z(3) extended minimal string. We find that two different boundary states of this model can be identified with a shift of the boundary cosmological constant. We also point out that the boundary states are classified with respect to the symmetry of the theory. This presentation is based on Ref. 1 to appear soon.

## The Spectral Dimension of Generic Trees

Journal of Statistical Physics **128** (2007) 1237-1260

## Rotational symmetry breaking in multimatrix models (vol 66, art no 085024, 2002)

PHYSICAL REVIEW D **67** (2003) ARTN 029904

## Modular Transformation and Boundary States in Logarithmic Conformal Field Theory

Physics Letters B **508** (2001) 203-210

## The Convergence of Yang-Mills Integrals

Journal of High Energy Physics (2001)

## Convergent Yang-Mills Matrix Theories

Journal of High Energy Physics (2001)

## The spectral dimension of non-generic branched polymers

NUCL PHYS B-PROC SUP **73** (1999) 783-785

We show that the spectral dimension on non-generic branched polymers with susceptibility exponent gamma > 0 is given by d(s) = 2/(1 + gamma). For those models with gamma < 0 we find that d(s) = 2.

## Three-state complex valued spins coupled to binary branched polymers in two-dimensional quantum gravity

NUCL PHYS B-PROC SUP **63** (1998) 754-756

A model of complex spins (corresponding to a non-minimal model in the language of CFT) coupled to the binary branched polymer sector of quantum gravity is considered. We show that this leads to new behaviour.

## Properties of the Z(3) interface in (2+1)-D SU(3) gauge theory

NUCL PHYS B (1996) 535-538

A study is made of some properties of this interface in the SU(3) pure gauge theory in 2+1 dimensions. At high temperatures, the interface tension is measured and shows agreement with the perturbative prediction. Near the critical temperature, the behaviour of the interface is examined, and its fluctuations compared to a scalar field theory model.

## RANDOM SURFACES - FROM POLYMER MEMBRANES TO STRINGS

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL **27** (1994) 3323-3353

## AN IMPROVED METROPOLIS ALGORITHM FOR THE SIMULATION OF RANDOM SURFACES

MODERN PHYSICS LETTERS A **8** (1993) 1221-1231