Kähler-Ricci孤子上的N=1超重力BPS畴壁
N=1 Supergravity BPS Domain Walls on Kähler-Ricci Soliton
摘要：
本文研究了四维手征N=1超引力的平坦和弯曲BPS畴壁及其Lorentz不变真空的某些性质。标量流形可以看作是由Kähler-Ricci流方程生成的单参数Kähler流形族。因此，由$(m,λ)$表征的真空流形，其中$m$和$λ$分别是流形的维数和指数，相对于与几何孤子相关的流动参数，确实变形。此外，人们必须进行重整化群分析，以验证这种真空流形在紫外或红外区域的存在。最后讨论了U（n）对称Kähler-Ricci轨道上的一个简单的线性超势模型。
英文摘要：
This paper provides a study of some aspects of flat and curved BPS domain walls together with their Lorentz invariant vacua of four dimensional chiral N=1 supergravity. The scalar manifold can be viewed as a one-parameter family of Kähler manifolds generated by a Kähler-Ricci flow equation. Consequently, a vacuum manifold characterized by $(m,λ)$ where $m$ and $λ$ are the dimension and the index of the manifold, respectively, does deform with respect to the flow parameter related to the geometric soliton. Moreover, one has to carry out the renormalization group analysis to verify the existence of such a vacuum manifold in the ultraviolet or infrared regions. At the end, we discuss a simple model with linear superpotential on U(n) symmetric Kähler-Ricci orbifolds.
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