Abstract
We study D3-brane theories that are dually described as deformations of two different mathcal{N}=2 superconformal theories with massless monopoles and dyons. These arise at the self-intersection of a seven-brane in F-theory, which cuts out a link on a small three-sphere surrounding the self-intersection. The spectrum is studied by taking small loops in the three-sphere, yielding a link-induced monodromy action on string junction D3-brane states, and subsequently quotienting by the monodromy. This reduces the differing flavor algebras of the mathcal{N}=2 theories to the same flavor algebra, as required by duality, and projects out charged states, yielding an mathcal{N}=1 superconformal theory on the D3-brane. In one, a deformation of a rank one Argyres-Douglas theory retains its SU(2) flavor symmetry and exhibits a charge neutral flavor triplet that is comprised of electron, dyon, and monopole string junctions. From duality we argue that the monodromy projection should also be imposed away from the conformal point, in which case the D3-brane field theory appears to exhibit confinement of electrons, dyons, and monopoles. We will address the mathematical counterparts in a companion paper.
Highlights
G-deformation gauge symmetry and seven-brane structures, which is central to certain phenomenological aspects of F-theory GUTs [18,19,20]; there is growing evidence that non-trivial seven-brane structures, so-called non-Higgsable clusters [21, 22], are generic [22,23,24,25,26,27] in F-theory; and in recent years there has been a resurgence of interest in 6d (1, 0) [28, 29] and 4d N = 1
In this paper we studied N = 1 D3-branes in non-trivial seven-brane backgrounds that have dual descriptions as deformations of two N = 2 SCFTs or QFTs with different flavor symmetries
Via a geometric analysis involving string junctions and seven-brane link induced monodromy, we demonstrated that the dual descriptions have a common reduced flavor symmetry and the deformation of the N = 2 theories removes their charged states
Summary
There is a rich literature on string junctions, and we review some aspects of them here. The mathematics of string junctions has been worked out in [36, 39, 43] and in [23, 37, 38] We will review the latter description since it makes direct contact with F-theory geometries, as will be useful for describing the seven-brane backgrounds utilized in this paper. For p ∈ ∆ such that π−1(p) is a Kodaira type I1 fiber (as will be the case when string junctions are utilized), the singular fiber is an elliptic fiber where a one-cycle has vanished. In this way a vanishing cycle is associated with a zero of ∆. Limit) in which the qi collide, or alternatively the flavor symmetry on the D3-brane probing the seven-brane
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