Gauge Theories from Orientifolds and Large N Limit

Abstract

Extending the recent work in hep-th/9803076, we consider string perturbative expansion in the presence of D-branes and orientifold planes imbedded in orbifolded space-time. In the ${\alpha }^{\prime }\to 0$ limit the weak coupling string perturbative expansion maps to `t Hooft's large N expansion. We focus on four dimensional $\mathcal{N}=1,2,4$ supersymmetric theories, and also discuss possible extensions to $\mathcal{N}=0$ cases. Utilizing the string theory perturbation techniques we show that computation of any M-point correlation function in these theories reduces to the corresponding computation in the parent $\mathcal{N}=4$ theory. In particular, we discuss theories (which are rather constrained) with vanishing beta-functions to all orders in perturbation theory in the large N limit. We also point out that in theories with non-vanishing beta-functions the gauge coupling running is suppressed in the large N limit. Introduction of orientifold planes allows to construct certain gauge theories with SO, Sp and SU gauge groups and various matter (only unitary gauge groups with bi-fundamental/adjoint matter arise in theories without orientifold planes).

27 pages, revtex, 3 figures, minor misprints corrected

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• Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory
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• Neutral Naturalness from the Orbifold Higgs
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• Gravity on a 3-brane in 6D Bulk
• BPS Domain Walls in Large N Supersymmetric QCD
• Global Orientifolded Quivers with Inflation
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• Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence
• Localized Gravity and Higher Curvature Terms
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• Mother Moose: Generating Extra Dimensions from Simple Groups at Large N
• Localized (Super)Gravity and Cosmological Constant
• Large N Domain Walls as D-branes for $\mathcal{N}=1$ QCD String
• Beta Functions of Orbifold Theories and the Hierarchy Problem
• On the Breaking of Conformal Symmetry in the AdS/CFT Correspondence
• N=1 Type IIA brane configurations, Chirality and T-duality
• On Large N Gauge Theories from Orientifolds
• Induced Gravity on Intersecting Branes
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• New N=1 dualities from orientifold transitions - Part II: String Theory
• Gravity in Randall-Sundrum Brane World Revisited
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• Brane-Inspired Orientifold Field Theories
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• Anomaly Free Non-Supersymmetric Large $N$ Gauge Theories from Orientifolds
• Conformal Brane World and Cosmological Constant
• A Solitonic 3-Brane in 6D Bulk
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• Quiver Gauge Theory and Conformality at the TeV Scale
• Integrable Spin Chains on the Conformal Moose
• Solitonic Brane World with Completely Localized (Super)Gravity
• Vacuum states of N=1* mass deformations of N=4 and N=2 conformal gauge theories and their brane interpretations
• Small volume expansion of almost supersymmetric large N theories
• AdS/CFT Correspondence and Quotient Space Geometry
• Spectrum of Chiral Operators in Strongly Coupled Gauge Theories
• Scherk-Schwarz Supersymmetry Breaking in 4D
• SO(2N) (0,2) SCFT and M Theory on $Ad{S}_7\times {RP}^4$
• N=8 SCFT and M Theory on AdS_4 x RP^7
• An Exact Relation for N=1 Orientifold Field Theories with Arbitrary Superpotential
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$
• S-duality and Strong Coupling Behavior of Large N Gauge Theories with N=4 Supersymmetry
• Tachyon-Free Non-Supersymmetric Strings on Orbifolds
• Large N orbifold field theories on the twisted torus
• Strongly coupled phases of $\mathcal{N}=1$ S-duality
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• Tadpole and Anomaly Cancellation Conditions in D-brane Orbifold Models
• A Remark on Non-conformal Non-supersymmetric Theories with Vanishing Vacuum Energy Density
• On Gauge Dynamics and SUSY Breaking in Orientiworld