A Simple Introduction to Grobner Basis Methods in String Phenomenology

Details A Simple Introduction to Grobner Basis Methods in String Phenomenology A Simple Introduction to Grobner Basis Methods in String Phenomenology

2009-01-12

arxiv.org/abs/0901.1662v1

Adv.High Energy Phys.2011:217035

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Prepared for Mathematical Challenges in String Phenomenology, ESI Vienna, Austria, Oct 6-15, 2008

Scientific paper

10.1155/2011/217035

In this talk I give an elementary introduction to the key algorithm used in recent applications of computational algebraic geometry to the subject of string phenomenology. I begin with a simple description of the algorithm itself and then give 3 examples of its use in physics. I describe how it can be used to obtain constraints on flux parameters, how it can simplify the equations describing vacua in 4d string models and lastly how it can be used to compute the vacuum space of the electroweak sector of the MSSM.

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