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- W3105599405 abstract "A bstract The open string sector of the topological B-model on CY ( m + 2)-folds is de- scribed by m -graded quivers with superpotentials. This correspondence extends to general m the well known connection between CY ( m + 2)-folds and gauge theories on the world- volume of D(5 − 2 m )-branes for m = 0 , …, 3. We introduce m -dimers, which fully encode the m -graded quivers and their superpotentials, in the case in which the CY ( m + 2)-folds are toric. Generalizing the well known m = 1 , 2 cases, m -dimers significantly simplify the connection between geometry and m -graded quivers. A key result of this paper is the generalization of the concept of perfect matching, which plays a central role in this map, to arbitrary m . We also introduce a simplified algorithm for the computation of perfect matchings, which generalizes the Kasteleyn matrix approach to any m . We illustrate these new tools with a few infinite families of CY singularities." @default.
- W3105599405 created "2020-11-23" @default.
- W3105599405 creator A5050403422 @default.
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- W3105599405 date "2019-11-01" @default.
- W3105599405 modified "2023-10-17" @default.
- W3105599405 title "Graded quivers, generalized dimer models and toric geometry" @default.
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- W3105599405 doi "https://doi.org/10.1007/jhep11(2019)104" @default.
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