Refined topological amplitudes in N=1 flux compactification

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, v2: reference added

Scientific paper

10.1007/JHEP11(2010)117

We study the implication of refined topological string amplitudes in the supersymmetric N=1 flux compactification. They generate higher derivative couplings among the vector multiplets and graviphoton with generically non-holomorphic moduli dependence. For a particular term, we can compute them by assuming the geometric engineering. We claim that the Dijkgraaf-Vafa large N matrix model with the beta-ensemble measure directly computes the higher derivative corrections to the supersymmetric effective action of the supersymmetric N=1$ gauge theory.

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