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We study the relation between the Type IIB (NSNS and RR) 2-form fields andthe (complex) gauge coupling constant of the 4D N=2 SU(Nc) super Yang-Millstheory with Nf fundamental matters. We start from the analysis of the D2-braneworld volume theory with heavy Nc quarks on the Nf D6 supergravity background.After a sequence of T- and S-dualities, we obtain the (generalized) 2-forms inthe configuration with Nc D5-branes wrapping on the vanishing two-cycle underthe influence of the background. These 2-forms shows the same behavior as thegauge coupling constant of the 4D N=2 super QCD. The background reduces to theZ_{Nf} orbifold in the twelve-dimensional space-time formally realized byintroducing the two parameters as the additional space coordinates. The 10Dgravity dual is suggested as the 2D flip in this twelve-dimensional space-time.In the case of Nf=2Nc, this gravity dual becomes AdS_5 \times S^5/Z_2 withD3-charge which depends on the constant generalized NSNS 2-form. This is theresult expected from the M-theory QCD configuration. Based on the known exactresult, we also discuss this configuration after including the nonperturbativeeffect.Comment: 45 pages, 5 figures, final version for publicatio

Type IIB 2-form fields and gauge coupling constant of 4D ${\cal N}=2$ super QCD