https://doi.org/10.1140/epjc/s2003-01312-4
theoretical physics
Type IIB 2-form fields and gauge coupling constant of 4D ${\cal N}=2$ super QCD
Hadron-Nuclear-Quantum Field Theory Group, Institute of Particle and Nuclear Studies, KEK, High Energy Accelerator Research Organization, 1-1 Oho, Tsukuba-shi, Ibaraki-ken, 305-0801, Japan
* e-mail: kitao@post.kek.jp
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.
© Springer-Verlag, 2003
