On the Gauge/Gravity Correspondence and the Open/Closed String Duality

Abstract

In this article we review the conditions for the validity of the gauge/gravity correspondence in both supersymmetric and non-supersymmetric string models. We start by reminding what happens in type IIB theory on the orbifolds C^2/Z_2 and C^3/(Z_2 x Z_2), where this correspondence beautifully works. In these cases, by performing a complete stringy calculation of the interaction among D3 branes, it has been shown that the fact that this correspondence works is a consequence of the open/closed duality and of the absence of threshold corrections. Then we review the construction of type 0 theories with their orbifolds and orientifolds having spectra free from both open and closed string tachyons and for such models we study the validity of the gauge/gravity correspondence, concluding that this is not a peculiarity of supersymmetric theories, but it may work also for non-supersymmetric models. Also in these cases, when it works, it is again a consequence of the open/closed string duality and of vanishing threshold corrections.

Invited review article for Int. J. Mod. Phys. A, 95 pages, 2 figures, 3 tables, LaTeX. References and acknowledgements added

References in corpus (49)

• Towards the large N limit of pure N=1 super Yang Mills
• 4d Conformal Field Theories and Strings on Orbifolds
• Consistency Conditions for Orientifolds and D-Manifolds
• Open Strings
• On Conformal Theories in Four Dimensions
• Algebras, BPS States, and Strings
• Gauge Theory and the Excision of Repulson Singularities
• Gauge/Gravity Duals with Holomorphic Dilaton
• Classical p-branes from boundary state
• Pair Creation of Open Strings in an Electric Field
• D-Branes and Dual Gauge Theories in Type 0 String Theory
• Gravity Duals of Fractional Branes and Logarithmic RG Flow
• N=2 Gauge theories on systems of fractional D3/D7 branes
• Large N limit of orbifold field theories
• Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
• String Expansion as Large N Expansion of Gauge Theories
• Glueball Mass Spectra and Other Issues for Supergravity Duals of QCD Models
• Anomalous couplings for D-branes and O-planes
• Geometric Transitions and N=1 Quiver Theories
• A Gravity Dual of the Chiral Anomaly
• A Non-Supersymmetric Open String Theory and S-Duality
• Microscopic string analysis of the D0-D8 brane system and dual R-R states
• Asymptotic Freedom and Infrared Behavior in the Type 0 String Approach to Gauge Theory
• Stable non-BPS states in string theory: a pedagogical review
• Perturbative and non-perturbative aspects of pure N=1 super Yang-Mills theory from wrapped branes
• Tachyon-free Orientifolds of Type 0B Strings in Various Dimensions
• Lectures on Non-BPS Dirichlet branes
• Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes
• N = 2 Gauge/Gravity Duals
• Stable non-BPS D-branes in Type I string theory
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• Effective Lagrangians for Orientifold Theories
• A note on the dual of N=1 super Yang-Mills theory
• Some Comments on N=1 Gauge Theories from Wrapped Branes
• Four Lectures On The Gauge/Gravity Correspondence
• Brane Boxes, Anomalies, Bending and Tadpoles
• Tachyon Stabilization in the AdS/CFT Correspondence
• Classical geometry and gauge duals for fractional branes on ALE orbifolds
• Non-Tachyonic Type 0B Orientifolds, Non-Supersymmetric Gauge Theories and Cosmological RG Flow
• On Non-Supersymmetric CFT in Four Dimensions
• More Anomalies from Fractional Branes
• Non-Supersymmetric Gauge Theories from D-Branes in Type 0 String Theory
• D-branes in non-tachyonic 0B orientifolds
• On D-branes in Type 0 String Theory
• Fundamental vs. Solitonic Description of D3 branes
• RG Flow, Wilson Loops and the Dilaton Tadpole
• Brane-Inspired Orientifold Field Theories
• On the N=1 beta-function from the conifold
• Non-perturbative gauge superpotentials from supergravity

Cited by in corpus (40)

• The D3/D7 Background and Flavor Dependence of Regge Trajectories
• Instanton effects in N=1 brane models and the Kahler metric of twisted matter
• Instantons in N=2 magnetized D-brane worlds
• Fluxed M5-instantons in F-theory
• Classical solutions for exotic instantons?
• Spontaneous Z2 Symmetry Breaking in the Orbifold Daughter of N=1 Super Yang-Mills Theory, Fractional Domain Walls and Vacuum Structure
• One loop scattering on D-branes
• Open/closed string duality and relativistic fluids
• Scattering on D3-branes
• Asymptotic Freedom versus Open/Closed Duality in Large-N QCD
• A comment on discrete Kalb-Ramond field on orientifold and rank reduction
• The large-N Yang-Mills S-matrix is ultraviolet finite, but the large-N QCD S-matrix is only renormalizable
• Predictions for orientifold field theories from type 0' string theory
• Holographic non-perturbative corrections to gauge couplings
• Renormalization in large-$N$ QCD is incompatible with open/closed string duality
• Open and Closed String Vertices for branes with magnetic field and T-duality
• Aspects of Open-Closed Duality in a Background B-Field
• Aspects of Open-Closed Duality in a Background B-Field II
• Fractional branes and the gravity dual of partial supersymmetry breaking
• Non-Perturbative Effects on a Fractional D3-Brane
• Radiation of Closed Strings between the Parallel Dynamical-Dressed Unstable Dp-Branes
• OPE and a low-energy theorem in QCD-like theories
• Boundary State for Magnetized D9 Branes and One-Loop Calculation
• Skyrmions in Orientifold and Adjoint QCD
• Boundary states for branes with non trivial homology in constant closed and open background
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• Closed String Radiation from the Interacting Fractional-Dressed D$p$-Branes with the Transverse Motions
• Geometric counter-vertex for open string scattering on D-branes
• Gravitational and Dilatonic Radiations from the Parallel Dressed-Dynamical Unstable Dp-Branes
• The UV behavior of Gravity at Large N
• Scattering of the Kalb-Ramond State from a Dynamical D$p$-brane with Background Fields
• Holographic entanglement entropy in open-closed string duality
• Closed string exchanges on $C^2/Z_2$ in a background B-field
• Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems
• Interaction of Dynamical Fractional Branes with Background Fields: Superstring Calculations
• Pair Creation of Open Strings between the Unstable-Dressed D$p$-branes
• D-instantons and Dualities in String Theory
• Getting N=1 super Yang-Mills from strings
• Gravity Dual of Superconformal Anomaly
• Fractional Dp-Branes with Transverse and Tangential Dynamics in the Presence of Background Fluxes