Gauge/Gravity Correspondence from Open/Closed String Duality

TL;DR

This paper demonstrates the equivalence between open and closed string descriptions of D3 brane interactions, elucidating the gauge/gravity correspondence through string duality and its implications for gauge theories.

Contribution

It provides a detailed string-theoretic derivation of gauge/gravity duality by analyzing the annulus diagram and open/closed string duality for fractional D3 branes.

Findings

Logarithmic divergence explained by massless string states

Open/closed string duality matches massless states without mixing

Supports perturbative gauge theory results from supergravity

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.