Algorithmic algebraic geometry and flux vacua
We develop a new and efficient method to systematically analyse four dimensional effective supergravities which descend from flux compactifications. The issue of finding vacua of such systems, both supersymmetric and non-supersymmetric, is mapped into a problem in computational algebraic geometry. U...
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| Format: | Journal article |
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2006
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| _version_ | 1797052086304636928 |
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| author | Gray, J He, Y Lukas, A |
| author_facet | Gray, J He, Y Lukas, A |
| author_sort | Gray, J |
| collection | OXFORD |
| description | We develop a new and efficient method to systematically analyse four dimensional effective supergravities which descend from flux compactifications. The issue of finding vacua of such systems, both supersymmetric and non-supersymmetric, is mapped into a problem in computational algebraic geometry. Using recent developments in computer algebra, the problem can then be rapidly dealt with in a completely algorithmic fashion. Two main results are (1) a procedure for calculating constraints which the flux parameters must satisfy in these models if any given type of vacuum is to exist; (2) a stepwise process for finding all of the isolated vacua of such systems and their physical properties. We illustrate our discussion with several concrete examples, some of which have eluded conventional methods so far. © SISSA 2006. |
| first_indexed | 2024-03-06T18:27:50Z |
| format | Journal article |
| id | oxford-uuid:089794dc-c1c9-48ca-ac76-004ffa6f3323 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:27:50Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:089794dc-c1c9-48ca-ac76-004ffa6f33232022-03-26T09:13:39ZAlgorithmic algebraic geometry and flux vacuaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:089794dc-c1c9-48ca-ac76-004ffa6f3323Symplectic Elements at Oxford2006Gray, JHe, YLukas, AWe develop a new and efficient method to systematically analyse four dimensional effective supergravities which descend from flux compactifications. The issue of finding vacua of such systems, both supersymmetric and non-supersymmetric, is mapped into a problem in computational algebraic geometry. Using recent developments in computer algebra, the problem can then be rapidly dealt with in a completely algorithmic fashion. Two main results are (1) a procedure for calculating constraints which the flux parameters must satisfy in these models if any given type of vacuum is to exist; (2) a stepwise process for finding all of the isolated vacua of such systems and their physical properties. We illustrate our discussion with several concrete examples, some of which have eluded conventional methods so far. © SISSA 2006. |
| spellingShingle | Gray, J He, Y Lukas, A Algorithmic algebraic geometry and flux vacua |
| title | Algorithmic algebraic geometry and flux vacua |
| title_full | Algorithmic algebraic geometry and flux vacua |
| title_fullStr | Algorithmic algebraic geometry and flux vacua |
| title_full_unstemmed | Algorithmic algebraic geometry and flux vacua |
| title_short | Algorithmic algebraic geometry and flux vacua |
| title_sort | algorithmic algebraic geometry and flux vacua |
| work_keys_str_mv | AT grayj algorithmicalgebraicgeometryandfluxvacua AT hey algorithmicalgebraicgeometryandfluxvacua AT lukasa algorithmicalgebraicgeometryandfluxvacua |