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arXiv · hep-th/0112187

Fractional Branes and N=1 Gauge Theories

M. Bertolini·P. Di Vecchia·G. Ferretti·R. Marotta
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Abstract

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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M. Bertolini, P. Di Vecchia, G. Ferretti, R. Marotta. 2002-03-16. Fractional Branes and N=1 Gauge Theories. https://doi.org/10.1016/s0550-3213(02)00178-5

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