Aspects of Open-Closed Duality in a Background B-Field

TL;DR

This paper investigates how open-closed string duality manifests in a background B-field by analyzing one-loop amplitudes, revealing IR singularities in closed string exchanges that mirror noncommutative gauge theory behavior.

Contribution

It demonstrates the IR singularities in closed string exchanges in a B-field background and interprets these as evidence of open-closed duality in noncommutative gauge theories.

Findings

IR singularities in closed string exchange match nonplanar gauge theory sector

Massless modes' contributions are isolated and analyzed

Results support open-closed string duality in noncommutative settings

Abstract

We study closed string exchanges in background $B$-field. By analysing the two point one loop amplitude in bosonic string theory, we show that tree-level exchange of lowest lying, tachyonic and massless closed string modes, have IR singularities similar to those of the nonplanar sector in noncommutative gauge theories. We further isolate the contributions from each of the massless modes. We interpret these results as the manifestation of open/closed string duality, where the IR behaviour of the boundary noncommutative gauge theory is reconstructed from the bulk theory of closed strings.