String Expansion as Large N Expansion of Gauge Theories

Abstract

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 ${\alpha }^{\prime }\to 0$, the string perturbative expansion coincides with `t Hooft's large N expansion. We specifically concentrate on theories with d=4 and $\mathcal{N}=0,1,2,4$, 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.

18 pages, harvmac, minor corrections and additional references

References in corpus (3)

• String Theory and Classical Absorption by Threebranes
• World Volume Approach to Absorption by Non-dilatonic Branes
• Absorption by Branes and Schwinger Terms in the World Volume Theory

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