Confining k-string tensions with D-Branes in Super Yang-Mills theories

TL;DR

This paper explores confining k string tensions in four-dimensional gauge theories via D-branes in various supergravity backgrounds, providing calculations and duality insights into string representations and charges.

Contribution

It introduces a method to compute confining k string tensions using D5 branes in AdS5xS5 and extends the analysis to Klebanov-Strassler and Maldacena-Nunez backgrounds with S-Duality.

Findings

D5 branes in AdS5xS5 replicate k-antisymmetric strings.

S-Duality reproduces string actions in complex backgrounds.

The approach offers a natural way to understand string charge k.

Abstract

We discuss confining k strings in four dimensional gauge theories using D5 branes in AdS5xS5, and D3 branes in Klebanov-Strassler and Maldacena-Nunez backgrounds. We present two results: The first that confining k string tensions in N=4 can be calculated using D5 branes in AdS5xS5 with a cut-off in the bulk AdS. Using an embedding of R2 times S4 in S5, we show that the D5 brane replicates a string of rank k in the antisymmetric representation. The second result shows that the S-Dual calculation to hep-th/0111078 reproduces the action in the Klebanov-Strassler and Maldacena-Nunez backgrounds exactly, while providing a more natural manifestation of the string charge k.