Abstract:We study a bound state of fractional D3-branes localized inside the world-volume of fractional D7-branes on the orbifold C 3 /(Z 2 × Z 2 ). We determine the open string spectrum that leads to N = 1 U (N 1 ) × U (N 2 ) × U (N 3 ) × U (N 4 ) gauge theory with matter having the number of D7-branes as a flavor index. We derive the linearized boundary action of the D7-brane on this orbifold using the boundary state formalism and we discuss the tadpole cancellation. After computing the asymptotic expression of the s… Show more
“…This can be seen by isolating the contribution of the massless open and closed string states, respectively, in Eqs. (12) and (13), which are the only ones giving a divergence. In this way in the open string channel we get:…”
Section: Branes In External Fields: N = Orbifoldmentioning
We compute the annulus diagram corresponding to the interaction of a fractional D3 brane with a gauge field on its world-volume and a stack of N fractional D3 branes on the orbifolds C 2 /Z 2 and C 3 /(Z 2 × Z 2 ). We show that its logarithmic divergence can be equivalently understood as due either to massless open string states circulating in the loop or to massless closed string states exchanged between two boundary states. This follows from the fact that, under open/closed string duality, massless states in the open and closed string channels are matched into each other without mixing with massive states. This explains why the perturbative properties of many gauge theories living on the worldvolume of less supersymmetric and nonconformal branes have been recently obtained from their corresponding supergravity solution.
“…This can be seen by isolating the contribution of the massless open and closed string states, respectively, in Eqs. (12) and (13), which are the only ones giving a divergence. In this way in the open string channel we get:…”
Section: Branes In External Fields: N = Orbifoldmentioning
We compute the annulus diagram corresponding to the interaction of a fractional D3 brane with a gauge field on its world-volume and a stack of N fractional D3 branes on the orbifolds C 2 /Z 2 and C 3 /(Z 2 × Z 2 ). We show that its logarithmic divergence can be equivalently understood as due either to massless open string states circulating in the loop or to massless closed string states exchanged between two boundary states. This follows from the fact that, under open/closed string duality, massless states in the open and closed string channels are matched into each other without mixing with massive states. This explains why the perturbative properties of many gauge theories living on the worldvolume of less supersymmetric and nonconformal branes have been recently obtained from their corresponding supergravity solution.
We study D7 brane probes holomorphically embedded in the Klebanov-Strassler model. Analyzing the κ-symmetry condition for D7 branes wrapping a 4-cycle of a deformed conifold we find configurations that do not break N = 1 supersymmetry of the background. We compute the fluctuations of the probe around one of these configurations and obtain the spectrum of vector and scalar flavored mesons in the dual gauge theory. The spectrum is discrete and exhibits a mass gap.
“…Before doing that let us first extend the previous results to N = 1 super QCD that can be obtained as a particular case of the general one studied in Ref. [10]. In this case only the asymptotic behaviour for large distances of the classical solution has been explicitly obtained and this is sufficient for computing the gauge coupling constant and the θ angle of N = 1 super QCD.…”
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