STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology

TL;DR

STRINGVACUA is a Mathematica package that simplifies the process of finding vacuum solutions in string-inspired supergravity models using algebraic geometry techniques, accessible to users without advanced math background.

Contribution

It introduces an easy-to-use set of Mathematica modules that leverage Singular for polynomial computations in string phenomenology research.

Findings

Facilitates vacuum analysis in string-derived supergravities

Provides accessible tools for algebraic geometry computations

Demonstrates effectiveness with simple illustrative examples

Abstract

We give a simple tutorial introduction to the Mathematica package STRINGVACUA, which is designed to find vacua of string-derived or inspired four-dimensional N=1 supergravities. The package uses powerful algebro-geometric methods, as implemented in the free computer algebra system Singular, but requires no knowledge of the mathematics upon which it is based. A series of easy-to-use Mathematica modules are provided which can be used both in string theory and in more general applications requiring fast polynomial computations. The use of these modules is illustrated throughout with simple examples.