Abstract.
We study the relation between the Type IIB (NSNS and RR) 2-form fields and the (complex) gauge coupling constant of the 4D \({\cal N}=2\) SU(N c ) super Yang-Mills theory with N f fundamental matter particles. We start from the analysis of the D2-brane world-volume theory with heavy N c quarks on the N f D6 supergravity background. After a sequence of T- and S-dualities, we obtain the (generalized) 2-forms in the configuration with N c D5-branes wrapping on a vanishing two-cycle under the influence of the background. These 2-forms show the same behavior as the gauge coupling constant of the 4D \({\cal N}=2\) super QCD. The background reduces to the \({\mathrm {Z}}_{N_f}\) orbifold in the twelve-dimensional space-time formally realized by introducing the two parameters as additional space coordinates. The 10D gravity dual is suggested as the 2D flip in this twelve-dimensional space-time. In the case of N f = 2N c , this gravity dual becomes AdS5 x S5/Z2 with a D3-charge which depends on the constant generalized NSNS 2-form. This is the result expected from the M-theory QCD configuration. Based on the known exact result, we also discuss this configuration after including non-perturbative effects.
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Received: 2 May 2003, Revised: 21 July 2003, Published online: 19 September 2003
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Kitao, T. Type IIB 2-form fields and gauge coupling constant of 4D \({\cal N}=2\) super QCD. Eur. Phys. J. C 30, 547–566 (2003). https://doi.org/10.1140/epjc/s2003-01312-4
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DOI: https://doi.org/10.1140/epjc/s2003-01312-4