Electric-Magnetic Duality in a Class of $G_2$-Compactifications of M-theory
Abstract
We study electric-magnetic duality in compactifications of M-theory on twisted connected sum (TCS) manifolds via duality with F-theory. Specifically, we study the physics of the D3-branes in F-theory compactified on a Calabi-Yau fourfold , dual to a compactification of M-theory on a TCS manifold . supersymmetry is restored in an appropriate geometric limit. In that limit, we demonstrate that the dual of D3-branes probing seven-branes corresponds to the shrinking of certain surfaces and curves, yielding light particles that may carry both electric and magnetic charges. We provide evidence that the Minahan-Nemeschansky theories with flavor symmetry may be realized in this way. The monodromy of the 3/7-brane system is dual to a Fourier-Mukai transform of the dual IIA/M-theory geometry in this limit, and we extrapolate this monodromy action to the global compactification. Away from the limit, the theory is broken to supersymmetry by a D-term.
Keywords
Cite
@article{arxiv.2210.08628,
title = {Electric-Magnetic Duality in a Class of $G_2$-Compactifications of M-theory},
author = {James Halverson and Benjamin Sung and Jiahua Tian},
journal= {arXiv preprint arXiv:2210.08628},
year = {2023}
}