String expansion as large N expansion of gauge theories

Bershadsky, Michael; Kakushadze, Zurab; Vafa, Cumrun

doi:10.1016/S0550-3213(98)00272-7

String expansion as large N expansion of gauge theories

Michael Bershadsky
(
- Harvard U.
)
,
Zurab Kakushadze
(
- Harvard U. and
- Northeastern U.
)
,
Cumrun Vafa
(
- Harvard U.
)

Mar, 1998

18 pages

Published in:

Nucl.Phys.B 523 (1998) 59-72

e-Print:

hep-th/9803076 [hep-th]

DOI:

10.1016/S0550-3213(98)00272-7

Report number:

HUTP-98-A017,
NUB-3170

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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'\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.

Note:

18 pages, harvmac, minor corrections and additional references Report-no: HUTP-98/A017, NUB 3170

gauge field theory: Yang-Mills
supersymmetry
expansion 1/N
membrane model: D-brane
string model
perturbation theory: higher-order
renormalization group
orbifold

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