RG-flows and Open/Closed String Duality

TL;DR

This paper explores the relationship between IR and UV divergences in open and unoriented string theories within the AdS/CFT framework, deriving formulas for gauge coupling corrections and discussing their implications for supergravity duals.

Contribution

It introduces general formulas for threshold corrections in open string configurations and analyzes the IR/UV correspondence in various brane setups.

Findings

Derived formulas for gauge coupling threshold corrections.

Established IR/UV correspondence between beta-functions and dilaton tadpoles.

Commented on supergravity duals of conformal gauge theories.

Abstract

We discuss the interpaly between IR and UV divergences in theories with open and unoriented strings in view of the AdS/CFT correspondence. We start by deriving general formulas for the computation of threshold corrections to gauge couplings in generic configurations with open and unoriented strings. These allow us to discuss the IR/UV correspondence between beta-function coefficients and ``dilaton'' tadpoles for several brane configurations probed by D3-branes. Finally we comment on the AdS supergravity descriptions of gauge theories that are (super)conformal in the large N limit.