论文标题
关键非亚洲涡流字符串的NS三型通量变形
NS Three-form Flux Deformation for the Critical Non-Abelian Vortex String
论文作者
论文摘要
已经表明，在四维（4D）n = 2的超对称QCD（SQCD）中，具有U（2）量规组和$ n_f = 4 $ quark flavors中支持的非 - 阿贝尔孤子涡流字符串变成了关键的超级序列。该弦在由平坦的4D空间的产物和Calabi-yau非划分三倍的内部空间形成的十维空间中传播，即对conifold。在相关类型的IIA弦理论中，低躺着的闭合弦状态的频谱被发现并解释为4d n = 2 sqcd中的Hadrons谱。特别是，最低的字符串状态似乎是与Conifold的复杂结构模量$ b $的变形相关的无质量BPS BARYON。在先前的工作中，考虑了10维背景的非零Neveu-Schwarz 3形通量的变形，并将其解释为4D SQCD中特定选择的夸克质量选择。将这种变形研究到小型3型通量时的领先顺序。在本文中，我们研究了非零3型通量在公制上和Dilaton引入ANSATZ的背部反应，该反应具有多种扭曲因子和求解运动的重力方程。我们表明，3型通量产生了Conifold复合物模量$ B $的潜力，这导致了失控的真空。在失控的真空扭曲因子中消失了，而对照式的脱落。在4D SQCD中，我们将其与u（1）量规理论相关联时，在开关夸克质量和两个口味的脱钩时。
It has been shown that non-Abelian solitonic vortex string supported in four-dimensional (4D) N = 2 supersymmetric QCD (SQCD) with the U(2) gauge group and $N_f = 4$ quark flavors becomes a critical superstring. This string propagates in the ten-dimensional space formed by a product of the flat 4D space and an internal space given by a Calabi-Yau noncompact threefold, namely, the conifold. The spectrum of low lying closed string states in the associated type IIA string theory was found and interpreted as a spectrum of hadrons in 4D N = 2 SQCD. In particular, the lowest string state appears to be a massless BPS baryon associated with the deformation of the complex structure modulus $b$ of the conifold. In the previous work the deformation of the 10-dimensional background with nonzero Neveu-Schwarz 3-form flux was considered and interpreted as a switching on a particular choice of quark masses in 4D SQCD. This deformation was studied to the leading order at small 3-form flux. In this paper we study the back reaction of the nonzero 3-form flux on the metric and the dilaton introducing ansatz with several warp factors and solving gravity equations of motion. We show that 3-form flux produces a potential for the conifold complex structure modulus $b$, which leads to the runaway vacuum. At the runaway vacuum warp factors disappear, while the conifold degenerates. In 4D SQCD we relate this to the flow to the U(1) gauge theory upon switching on quark masses and decoupling of two flavors.
