Exotic Brane Junctions from F-theory

TL;DR

This paper explores exotic brane junctions derived from F-theory, revealing new brane configurations and gauge theory constructions across multiple dimensions, enhancing understanding of string dualities and exotic branes.

Contribution

It introduces novel junctions of exotic five-branes, analyzes their monodromies, and constructs new gauge theories with enhanced symmetries using exotic branes in F-theory.

Findings

Constructed junctions of exotic five-branes and their Hanany-Witten transitions.

Analyzed the monodromy of the $5^2_2$-brane and its branch cut sensitivity.

Developed new brane configurations for $SU(2)$ gauge theories with $n$ flavors and superconformal limits.

Abstract

Applying string dualities to F-theory, we obtain various $[p,q]$-branes whose constituents are standard branes of codimension two and exotic branes. We construct junctions of the exotic five-branes and their Hanany-Witten transitions associated with those in F-theory. In this procedure, we understand the monodromy of the single $5^2_2$-brane. We also find the objects which are sensitive to the branch cut of the $5^2_2$-brane. Considering the web of branes in the presence of multiple exotic five-branes analogous to the web of five-branes with multiple seven-branes, we obtain novel brane constructions for $SU(2)$ gauge theories with $n$ flavors and their superconformal limit with enhanced $E_{n+1}$ symmetry in five, four, and three dimensions. Hence, adapting the techniques of the seven-branes to the exotic branes, we will be able to construct F-theories in diverse dimensions.