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- W2769213919 abstract "Dimer algebras arise from a particular type of quiver gauge theory. However, part of the input to such a theory is the gauge group, and this choice may impose additional constraints on the algebra. If the gauge group of a dimer theory is abelian, then the algebra that arises is not actually the dimer algebra itself, but a particular quotient we introduce called the 'homotopy algebra'. We show that a homotopy algebra $Lambda$ on a torus is a dimer algebra if and only if it is noetherian, and otherwise $Lambda$ is the quotient of a dimer algebra by homotopy relations. Stated in physics terms, a dimer theory is superconformal if and only if the corresponding dimer and homotopy algebras coincide. We also give an explicit description of the center of a homotopy algebra in terms of a special subset of its perfect matchings. In our proofs we introduce formalized notions of Higgsing and the mesonic chiral ring from quiver gauge theory." @default.
- W2769213919 created "2017-12-04" @default.
- W2769213919 creator A5005824086 @default.
- W2769213919 date "2017-11-27" @default.
- W2769213919 modified "2023-09-27" @default.
- W2769213919 title "Homotopy dimer algebras and cyclic contractions" @default.
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