Holomorphic D7-branes and flavored N=1 gauge theories

By P. Ouyang. 2003

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Abstract We consider D7-branes in the gauge theory/string theory correspondence, using a probe approximation. The D7-branes have four directions embedded holomorphically in a non-compact Calabi–Yau 3-fold (which for specificity we take to be the conifold) and their remaining four directions are parallel to a stack of D3-branes transverse to the Calabi–Yau space. The dual gauge theory, which has N = 1 supersymmetry, contains quarks which transform in the fundamental representation of the gauge group, and we identify the interactions of these quarks in terms of a superpotential. By activating three-form fluxes in the gravity background, we obtain a dual gauge theory with a cascade of Seiberg dualities. We find a supersymmetric supergravity solution for the leading backreaction effects of the D7-branes, valid for large radius. The cascading theory with flavors exhibits the interesting phenomenon that the rate of the cascade slows and can stop as the theory flows to the infrared.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e74614e80998e217b779491fc99fd4a57450f8d9

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Citations in the corpus

Chiral flavors and M2-branes at toric CY4 singularities (2009, unknown): “, in [56–60]).”
Meson spectroscopy from holomorphic probes on the warped deformed conifold (2004, background): “2.1 The deformed conifold and the embedding z4 = µ 4 2.2 The 10d metric and the forms in the KS background 8 2.3 The dual gauge theory 9 3. κ-symmetry 10”
D3-brane potentials from fluxes in AdS/CFT (2010, background): “and the Ouyang embedding [47], z3 + iz4 = μ .”
Mesons in gauge/gravity duals (2007, background): “A perturbative analysis of the backreaction due to the introduction of D7 branes in [115] found evidence of Seiberg duality [116] in these theories.”
Towards a holographic dual of large- N c QCD (2003, background): “In the context of AdS/CFT, fundamental matter can be added to the gauge theory by introducing D-brane probes in the dual supergravity background [4, 5, 6, 7, 8, 9, 10, 11 ].”
Dynamical SUSY breaking at meta-stable minima from D-branes at obstructed geometries (2006, background): “Interestingly, when a small number of D7-branes is added, the effective number of fractional branes is also reduced along the RG flow (see for example [42]).”
On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes (2006, methodology): “Two simple special cases of (36) have this property: • Ouyang embedding [39]: w1 = µ .”
Towards an explicit model of D-brane inflation (2007, background): “(For comparison, the embeddings of [19, 17] have so far been studied explicitly only in the AdS5×T 1,1 background).”