String Expansion as Large N Expansion of Gauge Theories

Details String Expansion as Large N Expansion of Gauge Theories String Expansion as Large N Expansion of Gauge Theories

1998-03-09

arxiv.org/abs/hep-th/9803076v2

Nucl.Phys. B523 (1998) 59-72

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac, minor corrections and additional references

Scientific paper

10.1016/S0550-3213(98)00272-7

We consider string perturbative expansion in the presence of D-branes imbedded in orbifolded space-time. In the regime where the string coupling is weak and $\alpha'\to 0$, the string perturbative expansion coincides with `t Hooft's large N expansion. We specifically concentrate on theories with d=4 and ${\cal N}=0,1,2,4$, and use world-sheet orbifold techniques to prove vanishing theorems for the field theory beta functions to all orders in perturbation theory in the large N limit. This is in accord with recent predictions.

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