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TitleGraded Calabi Yau algebras of dimension 3
Author(s) Raf Bocklandt
TypeArticle in Journal
AbstractIn this paper, we prove that Graded Calabi Yau algebras of dimension 3 are isomorphic to path algebras of quivers with relations derived from a superpotential. We show that for a given quiver Q and a degree d , the set of good superpotentials of degree d , i.e. those that give rise to Calabi Yau algebras, is either empty or almost everything (in the measure theoretic sense). We also give some constraints on the structure of quivers that allow good superpotentials, and for the simplest quivers we give a complete list of the degrees for which good superpotentials exist.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404907000989
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume212
Number1
Pages14 - 32
Year2008
Edition0
Translation No
Refereed No
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