Matrix geometries and matrix models

doi:10.1007/JHEP11(2012)057

Matrix geometries and matrix models

2012-11-12

13

OA

AI

R

Rodrigo Delgadillo-Blando *

D

Denjoe O’Connor

DOI：10.1007/JHEP11(2012)057

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Abstract

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We study a two parameter single trace 3-matrix model with SO(3) global symmetry. The model has two phases, a fuzzy sphere phase and a matrix phase. Configurations in the matrix phase are characterised by a parabolic eigenvalue distribution of radius R = 2.0. We study the co-existence curve of the model and find evidence that it has two distinct portions one with a discontinuous internal energy yet critical fluctuations of the specific heat but only on the low temperature side of the transition and the other portion has a continuous internal energy with a discontinuous specific heat of finite jump. We study in detail the eigenvalue distributions of different observables.

Keywords:

Matrix Model

Non-Commutative Geometry

M(atrix) Theories

Random Systems

Matrix geometries and matrix models

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