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Algorithmic algebraic geometry and flux vacua

Abstract:

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 ...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Journal:
Journal of High Energy Physics
Volume:
2006
Issue:
9
Publication date:
2006-09-01
DOI:
EISSN:
1029-8479
ISSN:
1029-8479
URN:
uuid:089794dc-c1c9-48ca-ac76-004ffa6f3323
Source identifiers:
215014
Local pid:
pubs:215014

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