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

Abstract

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 $(m,\lambda )$ 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 Kähler-Ricci orbifolds.

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

References in corpus (7)

• Hypermultiplets, domain walls and supersymmetric attractors
• Domain walls, near-BPS bubbles, and probabilities in the landscape
• On Fermion Masses, Gradient Flows and Potential in Supersymmetric Theories
• Supersymmetry reduction of N-extended supergravities in four dimensions
• BPS Domain Walls and Vacuum Structure of N=1 Supergravity Coupled to a Chiral Multiplet
• Deformation of Curved BPS Domain Walls and Supersymmetric Flows on 2d Kähler-Ricci Soliton
• Flat BPS Domain Walls on 2d Kähler-Ricci Soliton

Cited by in corpus (1)

• Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d N=1 Supergravity