The vacuum moduli space of the MSSM is shown to consist of three rational components of dimensions 1, 15, and 29 via Gröbner basis computations.
A Simple Introduction to Grobner Basis Methods in String Phenomenology
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abstract
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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Vacuum Geometry of the Standard Model
The vacuum moduli space of the MSSM is shown to consist of three rational components of dimensions 1, 15, and 29 via Gröbner basis computations.