论文标题
轻弦和F理论中的强耦合
Light Strings and Strong Coupling in F-theory
论文作者
论文摘要
我们认为4D n = 1的理论是由椭圆纤维的calabi-yau上的F理论压缩引起的，并研究了其标量场空间的非扰动结构，而不是大容量/大复杂结构。我们关注的是F-Theory场所空间有效地减少到从包裹的D3 Brane获得的关键字符串的变形空间的方案上。如果此临界字符串是具有简单GLSM描述的异性弦字符串，我们在F理论场空间内部确定了新的强耦合奇异性。从扰动的角度来看，这些奇点通过扰动$α'$ - 扩展的崩溃来表现出来，而双重GLSM的观点则表明，在非扰动层面上，这些奇点对应于野外空间中的基因座，而这些奇异性与量子的couge cou cou and tem presptim coun coun coun coun coun cons the Worldsheet the Worldsheet the The Worldshet Theect of the Worldsheet理论变得强烈。因此，这些奇异性在F理论场空间中向强度耦合阶段的过渡标志着，由于F理论场空间的故障，可以证明这是在量子水平上分解复杂结构和Kahler部门之间的失败。因此，这种奇异性是真正的n = 1理论的特征，而在4D中，n = 2理论中没有直接的对应物。通过将我们的设置与与轴突串相关的全球弦溶液的最新研究联系起来，我们认为D3-Brane String与扰动杂音串双重偶性使BPS字符串的频谱在横穿强耦合阶段时会产生BPS字符串的光谱。然后，没有扰动，临界杂质弦的缺乏为扰动膨胀的崩溃和根据出现的弦线的猜测而妨碍某些经典无限距离限制的物理解释。
We consider 4d N=1 theories arising from F-theory compactifications on elliptically-fibered Calabi-Yau four-folds and investigate the non-perturbative structure of their scalar field space beyond the large volume/large complex structure regime. We focus on regimes where the F-theory field space effectively reduces to the deformation space of the worldsheet theory of a critical string obtained from a wrapped D3-brane. In case that this critical string is a heterotic string with a simple GLSM description, we identify new strong coupling singularities in the interior of the F-theory field space. Whereas from the perturbative perspective these singularities manifest themselves through a breakdown of the perturbative $α'$-expansion, the dual GLSM perspective reveals that at the non-perturbative level these singularities correspond to loci in field space along which the worldsheet theory of the critical D3-brane string breaks down and a 7-brane gauge theory becomes strongly coupled due to quantum effects. Therefore these singularities signal a transition to a strong coupling phase in the F-theory field space which can be shown to arise due to the failure of the F-theory field space to factorize between complex structure and Kahler sector at the quantum level. Such singularities are hence a feature of a genuine N=1 theory without a direct counterpart in N=2 theories in 4d. By relating our setup to recent studies of global string solutions associated to axionic strings we argue that the D3-brane string dual to the perturbative heterotic string leaves the spectrum of BPS strings when traversing into the strong coupling phase. The absence of the perturbative, critical heterotic string then provides a physical explanation for the breakdown of the perturbative expansion and the obstruction of certain classical infinite distance limits in accordance with the Emergent String Conjecture.
