Numerical Analyses on Moduli Space of Vacua
High Energy Physics - Theory
2015-06-11 v2 Mathematical Physics
Algebraic Geometry
math.MP
Numerical Analysis
Abstract
We propose a new computational method to understand the vacuum moduli space of (supersymmetric) field theories. By combining numerical algebraic geometry (NAG) and elimination theory, we develop a powerful, efficient, and parallelizable algorithm to extract important information such as the dimension, branch structure, Hilbert series and subsequent operator counting, as well as variation according to coupling constants and mass parameters. We illustrate this method on a host of examples from gauge theory, string theory, and algebraic geometry.
Keywords
Cite
@article{arxiv.1210.6038,
title = {Numerical Analyses on Moduli Space of Vacua},
author = {Jonathan Hauenstein and Yang-Hui He and Dhagash Mehta},
journal= {arXiv preprint arXiv:1210.6038},
year = {2015}
}
Comments
31 pages, 3 figures. Results for bigger systems included and references updated