2D Quantum Gravity, Matrix Models and Graph Combinatorics
P. Di Francesco
TL;DR
This paper explores the connections between 2D quantum gravity, matrix models, and graph combinatorics, providing insights into their mathematical and physical relationships.
Contribution
It offers a comprehensive overview of how matrix models relate to 2D quantum gravity and graph combinatorics, highlighting new mathematical frameworks.
Findings
Matrix models encode 2D quantum gravity dynamics
Graph combinatorics elucidate matrix model structures
New mathematical tools for quantum gravity analysis
Abstract
Lecture notes given at the summer school ``Applications of random matrices to physics", Les Houches, June 2004.
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Taxonomy
TopicsRandom Matrices and Applications · Topological and Geometric Data Analysis · Advanced Algebra and Geometry