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- W2108122004 abstract "We establish the equivalence between the refined topological vertex of Iqbal-Kozcaz-Vafa and a certain representation theory of the quantum algebra of type W 1+∞ introduced by Miki. Our construction involves trivalent intertwining operators Φ and Φ* associated with triples of the bosonic Fock modules. Resembling the topological vertex, a triple of vectors ∈ $$ {mathbb{Z}^2} $$ is attached to each intertwining operator, which satisfy the Calabi-Yau and smoothness conditions. It is shown that certain matrix elements of Φ and Φ* give the refined topological vertex C λμν (t, q) of Iqbal-Kozcaz-Vafa. With another choice of basis, we recover the refined topological vertex C λμ ν (q, t) of Awata-Kanno. The gluing factors appears correctly when we consider any compositions of Φ and Φ*. The spectral parameters attached to Fock spaces play the role of the Kähler parameters." @default.
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- W2108122004 date "2012-03-01" @default.
- W2108122004 modified "2023-10-01" @default.
- W2108122004 title "Quantum algebraic approach to refined topological vertex" @default.
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- W2108122004 doi "https://doi.org/10.1007/jhep03(2012)041" @default.
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