论文标题
$ g_2 $ compactification of M理论的电磁二元性
Electric-Magnetic Duality in a Class of $G_2$-Compactifications of M-theory
论文作者
论文摘要
我们研究了通过二重性通过f和f理论的双重性，研究了M理论（TCS）$ G_2 $歧管的M理论的电力二元性。具体来说，我们研究了在calabi-yau四倍$ y $上压实的F理论中D3-BRANES的物理学，双重二重为TCS $ g_2 $ coplold $ x $的M理论。 $ \ Mathcal {n} = 2 $ supersymmetry恢复在适当的几何极限中。在这个限制中，我们证明了探测七烧伤的D3-贿赂的双重对应于某些表面和曲线的收缩，产生了可能带有电荷和磁性电荷的光颗粒。我们提供的证据表明，具有$ e_n $风味对称性的Minahan-Nemeschansky理论可以通过这种方式实现。 $ sl（2，\ mathbb {z}）$ 3/7-brane系统的单元是双重IIA/M理论几何形状的傅立叶 - 穆凯转换，我们将这种单肌动作推断到全球压实中。远离极限，该理论被$ \ Mathcal {n} = 1 $ supersymmetry by d-Term。
We study electric-magnetic duality in compactifications of M-theory on twisted connected sum (TCS) $G_2$ manifolds via duality with F-theory. Specifically, we study the physics of the D3-branes in F-theory compactified on a Calabi-Yau fourfold $Y$, dual to a compactification of M-theory on a TCS $G_2$ manifold $X$. $\mathcal{N}=2$ 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 $E_n$ flavor symmetry may be realized in this way. The $SL(2,\mathbb{Z})$ 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 $\mathcal{N}=1$ supersymmetry by a D-term.
