Refined topological vertex, cylindric partitions and adjoint theory
نویسندگان
چکیده
منابع مشابه
Refined Topological Vertex and Instanton Counting
It has been proposed recently that topological A-model string amplitudes for toric Calabi-Yau 3-folds in non self-dual graviphoton background can be caluculated by a diagrammatic method that is called the " refined topological vertex ". We compute the extended A-model amplitudes for SU (N)-geometries using the proposed vertex. If the refined topological vertex is valid, these computations shoul...
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Generating functions of plane overpartitions are obtained using various methods: non–intersecting paths, RSK type algorithms and symmetric functions. We extend some of the results to cylindric partitions. Also, we show that plane overpartitions correspond to domino tilings and we give some basic properties of this correspondence.
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Résumé. Cylindric plane partitions may be thought of as a natural generalization of reverse plane partitions. A generating series for the enumeration of cylindric plane partitions was recently given by Borodin. As in the reverse plane partition case, the right hand side of this identity admits a simple factorization form in terms of the “hook lengths” of the individual boxes in the underlying s...
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It has been proposed recently that the topological A-model string theory on local toric CalabiYau manifolds has a two parameter extension. Amplitudes of the two parameter topological strings can be computed using a diagrammatic method called the refined topological vertex. In this paper we study properties of the refined amplitudes under the flop transition of toric Calabi-Yau threefolds. We al...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2010
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2010.06.010