Gauge/Gravity Correspondence from Open/Closed String Duality

Abstract

We compute the annulus diagram corresponding to the interaction of a fractional D3 brane with a gauge field on its world-volume and a stack of N fractional D3 branes on the orbifolds C^2 /Z_2 and C^3/Z_2 x Z_2. We show that its logarithmic divergence can be equivalently understood as due either to massless open string states circulating in the loop or to massless closed string states exchanged between two boundary states. This follows from the fact that, under open/closed string duality, massless states in the open and closed string channels are matched into each other without mixing with massive states. This explains why the perturbative properties of many gauge theories living on the worldvolume of less supersymmetric and nonconformal branes have been recently obtained from their corresponding supergravity solution.

LaTeX, 28 pages

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Cited by in corpus (29)

• 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
• On the Percolation BCFT and the Crossing Probability of Watts
• Brane-Inspired Orientifold Field Theories
• The Gauge/String Correspondence Towards Realistic Gauge Theories
• Moving Fractional Branes with Background Fields: Interaction and Tachyon Condensation
• Non-perturbative gauge superpotentials from supergravity
• Open/closed string duality and relativistic fluids
• Twisted determinants on higher genus Riemann surfaces
• Conifold Holography
• Relations Between Closed String Amplitudes at Higher-order Tree Level and Open String Amplitudes
• Aspects of Open-Closed Duality in a Background B-Field
• The open string pair-production rate enhancement by a magnetic flux
• Aspects of Open-Closed Duality in a Background B-Field II
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• The Gauge/Gravity Correspondence for Non-Supersymmetric Theories
• Open-closed string correspondence: D-brane decay in curved space
• Closed String Radiation from the Interacting Fractional-Dressed D$p$-Branes with the Transverse Motions
• Equivalence of open/closed strings
• Holographic entanglement entropy in open-closed string duality
• Closed string exchanges on $C^2/Z_2$ in a background B-field
• On the Correspondence of Open and Closed Strings
• Anomalies and Tadpoles in Open/Closed String Duality
• Effective Action of a Dynamical D$p$-brane with Background Fluxes
• Interaction of the branes in the Presence of the Background Fields: the Dynamical Non-intersecting Perpendicular Wrapped-Fractional Configuration
• Interaction of Dynamical Fractional Branes with Background Fields: Superstring Calculations
• Fractional Dp-Branes with Transverse and Tangential Dynamics in the Presence of Background Fluxes