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Numerical elimination and moduli space of vacua

Hauenstein, J., He, Y. and Mehta, D. (2013). Numerical elimination and moduli space of vacua. Journal of High Energy Physics, 2013(9), p. 83. doi: 10.1007/JHEP09(2013)083

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 toextract 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.

Publication Type: Article
Publisher Keywords: Supersymmetric gauge theory, Differential and Algebraic Geometry, Superstring Vacua, Solitons Monopoles and Instantons
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/12868
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