Numerical polynomial homotopy continuation method and string vacua

DOI10.1155/2011/263937zbMath1234.83028arXiv1108.1201OpenAlexW3102445432WikidataQ58655099 ScholiaQ58655099MaRDI QIDQ765439

Dhagash Mehta

Publication date: 19 March 2012

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1201

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Kaluza-Klein and other higher-dimensional theories (83E15) Lamé, Mathieu, and spheroidal wave functions (33E10)

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Uses Software

• CoCoA
• HOM4PS
• Macaulay2
• Magma
• MixedVol
• PHCpack
• SINGULAR
• STRINGVACUA
• PHoM
• alphaCertified

Cites Work

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• Stationary point analysis of the one-dimensional lattice Landau gauge fixing functional, aka random phase \(XY\) Hamiltonian
• STRINGVACUA. A Mathematica package for studying vacuum configurations in string phenomenology
• A simple introduction to Gröbner basis methods in string phenomenology
• HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
• The Magma algebra system. I: The user language
• PHoM -- a polyhedral homotopy continuation method for polynomial systems
• Algorithm 921
• Algorithm 846
• Finding all isolated solutions to polynomial systems using HOMPACK
• Algorithm 795
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science