N=1 Supergravity BPS Domain Walls on Kähler-Ricci Soliton

Details N=1 Supergravity BPS Domain Walls on Kähler-Ricci Soliton N=1 Supergravity BPS Domain Walls on Kähler-Ricci Soliton

2009-01-05

arxiv.org/abs/0901.0416v2

Rept. Math. Phys. 67:409-427, 2011

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, no figures; v2 some typos and grammar corrected; accepted in Rep. Math. Phys

Scientific paper

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 K\"ahler manifolds generated by a K\"ahler-Ricci flow equation. Consequently, a vacuum manifold characterized by $(m,\lambda)$ where $m$ and $\lambda$ 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 K\"ahler-Ricci orbifolds.

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