Fractional Branes and N=1 Gauge Theories
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.
Cite
@article{arxiv.hep-th/0112187,
title = {Fractional Branes and N=1 Gauge Theories},
author = {M. Bertolini and P. Di Vecchia and G. Ferretti and R. Marotta},
journal= {arXiv preprint arXiv:hep-th/0112187},
year = {2009}
}
Comments
21 pages, AMS-LaTeX, v2: references added and typos corrected