Fractional Branes and N=1 Gauge Theories

Details Fractional Branes and N=1 Gauge Theories Fractional Branes and N=1 Gauge Theories

2001-12-19

arxiv.org/abs/hep-th/0112187v2

Nucl.Phys. B630 (2002) 222-240

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, AMS-LaTeX, v2: references added and typos corrected

Scientific paper

10.1016/S0550-3213(02)00178-5

We discuss fractional D3-branes on the orbifold C^3/Z_2*Z_2. We study the open and the closed string spectrum on this orbifold. The corresponding N=1 theory on the brane has, generically, a U(N_1)*U(N_2)*U(N_3)*U(N_4) gauge group with matter in the bifundamental. In particular, when only one type of brane is present, one obtains pure N=1 Yang-Mills. We study the coupling of the branes to the bulk fields and present the corresponding supergravity solution, valid at large distances. By using a probe analysis, we are able to obtain the Wilsonian beta-function for those gauge theories that possess some chiral multiplet. Although, due to the lack of moduli, the probe technique is not directly applicable to the case of pure N=1 Yang-Mills, we point out that the same formula gives the correct result also for this case.

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