论文标题
超级阳米尔斯理论不均匀质量变形
Super Yang-Mills Theories with Inhomogeneous Mass Deformations
论文作者
论文摘要
我们构造了4维$ {\ cal n} = \ frac12 $和$ {\ cal n} = 1 $ in Homeyele质量质量的超级Yang-mills理论，从$ {\ cal n} = 1^*$和$ {\ cal n} = 2^*$ tacemememememememmempimmempimmempimmempimmememmempimmed sua和不均匀性归因于IIB类型超重力中背景通量对单个空间坐标的依赖性。这引起了$ {\ cal n} = 4 $ Super Yang-Mills理论的不均匀质量功能，该理论描述了D3-branes的动力学。这些不均匀理论的杀伤旋转器方程导致超对称真空方程和边界条件。我们研究了$ {\ cal n} = \ frac12 $理论中的两种类型的解决方案，与渐近恒定质量函数和周期性质量函数相对应。对于前一种情况，边界条件在渐近边界处的两个可能有不同的真空的参数之间给出了关系。还讨论了IIB型超级实力的相应真空解决方案的Brane解释。对于后一种情况，我们获得了周期真空解决方案的明确形式。
We construct the 4-dimensional ${\cal N}=\frac12$ and ${\cal N}=1$ inhomogeneously mass-deformed super Yang-Mills theories from the ${\cal N} =1^*$ and ${\cal N} =2^*$ theories, respectively, and analyse their supersymmetric vacua. The inhomogeneity is attributed to the dependence of background fluxes in the type IIB supergravity on a single spatial coordinate. This gives rise to inhomogeneous mass functions in the ${\cal N} =4$ super Yang-Mills theory which describes the dynamics of D3-branes. The Killing spinor equations for those inhomogeneous theories lead to the supersymmetric vacuum equation and a boundary condition. We investigate two types of solutions in the $ {\cal N}=\frac12$ theory, corresponding to the cases of asymptotically constant mass functions and periodic mass functions. For the former case, the boundary condition gives a relation between the parameters of two possibly distinct vacua at the asymptotic boundaries. Brane interpretations for corresponding vacuum solutions in type IIB supergravity are also discussed. For the latter case, we obtain explicit forms of the periodic vacuum solutions.
