论文标题

D-Branes和广义复合几何形状的仪表术语

Gaugino mass term for D-branes and Generalized Complex Geometry

论文作者

Graña, Mariana, Kovensky, Nicolas, Retolaza, Ander

论文摘要

我们计算了时空延伸的DP-brane的四维仪表质量,并在扭曲的紧凑型中用通量包裹了内部几何形状的周期。通过Gaugino双线性VEV的反应,我们使用通用的复合几何形状来表征内部几何形状以及勃板包裹的循环。我们发现,RR通量和广义复合物结构的不闭合以与散装超电势相同的形式结合在一起,而对于NSNS通量,在与Brane的正态分子中有一个至关重要的负符号。我们的表达扩展了Calabi-yau歧管中D3和D7-晶体的已知结果,其中仪表群分别由复杂的3型Flux flux $ g_3 $的虚构反自我双重和虚构的自我偶发组件分别诱导。

We compute the four-dimensional gaugino mass for a Dp-brane extended in spacetime and wrapping a cycle on the internal geometry in a warped compactification with fluxes. Motivated by the backreaction of gaugino bilinear VEVs, we use Generalized Complex Geometry to characterize the internal geometry as well as the cycle wrapped by the brane. We find that the RR fluxes and the non-closure of the generalized complex structures combine in the gaugino mass terms in the same form as they do in the bulk superpotential, while for the NSNS fluxes there is a crucial minus sign in the component normal to the brane. Our expression extends the known result for D3 and D7-branes in Calabi-Yau manifolds, where the gaugino masses are induced respectively by the imaginary anti-self dual and imaginary self-dual components of the complex 3-form flux $G_3$.

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