Conifold geometries, matrix models and quantum solutions

TL;DR

This paper explores the connection between conifold geometries, matrix models, and quantum solutions, focusing on gauge fixing issues and quantum matrix model solutions in the context of topological B-models on Calabi-Yau geometries.

Contribution

It advances understanding of gauge fixing in reduced models and provides new quantum matrix model solutions related to conifold geometries.

Findings

Analysis of gauge fixing in 2D reductions

Development of quantum matrix model solutions

Enhanced understanding of topological B-models on Calabi-Yau geometries

Abstract

This paper is a continuation of hepth/0507224 where open topological B-models describing D-branes on 2-cycles of local Calabi--Yau geometries with conical singularities were studied. After a short review, the paper expands in particular on two aspects: the gauge fixing problem in the reduction to two dimensions and the quantum matrix model solutions.