A Simple Introduction to Gröbner Basis Methods in String Phenomenology
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 ob...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/217035 |
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| _version_ | 1850232703514836992 |
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| author | James Gray |
| author_facet | James Gray |
| author_sort | James Gray |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-049e1ddd0a4b4b3a9e0ae5fe7bf3200e |
| institution | OA Journals |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-049e1ddd0a4b4b3a9e0ae5fe7bf3200e2025-08-20T02:03:06ZengWileyAdvances in High Energy Physics1687-73571687-73652011-01-01201110.1155/2011/217035217035A Simple Introduction to Gröbner Basis Methods in String PhenomenologyJames Gray0Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, UKI 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.http://dx.doi.org/10.1155/2011/217035 |
| spellingShingle | James Gray A Simple Introduction to Gröbner Basis Methods in String Phenomenology Advances in High Energy Physics |
| title | A Simple Introduction to Gröbner Basis Methods in String Phenomenology |
| title_full | A Simple Introduction to Gröbner Basis Methods in String Phenomenology |
| title_fullStr | A Simple Introduction to Gröbner Basis Methods in String Phenomenology |
| title_full_unstemmed | A Simple Introduction to Gröbner Basis Methods in String Phenomenology |
| title_short | A Simple Introduction to Gröbner Basis Methods in String Phenomenology |
| title_sort | simple introduction to grobner basis methods in string phenomenology |
| url | http://dx.doi.org/10.1155/2011/217035 |
| work_keys_str_mv | AT jamesgray asimpleintroductiontogrobnerbasismethodsinstringphenomenology AT jamesgray simpleintroductiontogrobnerbasismethodsinstringphenomenology |