12,363 research outputs found
-th parafermion characters from instanton counting on
We propose, following the AGT correspondence, how the (-th parafermion ) minimal model characters are
obtained from the instanton counting on with -deformation by imposing specific conditions which remove
the minimal model null states.Comment: 25 pages, 2 figures; v2: minor changes, references added; I would
like to dedicate this paper to the memory of Professor Omar Fod
Determinantal Calabi-Yau varieties in Grassmannians and the Givental -functions
We examine a class of Calabi-Yau varieties of the determinantal type in
Grassmannians and clarify what kind of examples can be constructed explicitly.
We also demonstrate how to compute their genus-0 Gromov-Witten invariants from
the analysis of the Givental -functions. By constructing -functions from
the supersymmetric localization formula for the two dimensional gauged linear
sigma models, we describe an algorithm to evaluate the genus-0 A-model
correlation functions appropriately. We also check that our results for the
Gromov-Witten invariants are consistent with previous results for known
examples included in our construction.Comment: 50 page
Macdonald topological vertices and brane condensates
We show, in a number of simple examples, that Macdonald-type
-deformations of topological string partition functions are equivalent to
topological string partition functions that are without -deformations but
with brane condensates, and that these brane condensates lead to geometric
transitions.Comment: 23 pages, 5 figures. v2: minor changes, published versio
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