Higher Dimensional Curved Domain Walls on K\"ahler Surfaces
Abstract
In this paper we study some aspects of curved BPS-like domain walls in higher dimensional gravity theory coupled to scalars where the scalars span a complex K\"ahler surface with scalar potential turned on. Assuming that a fake superpotential has a special form which depends on K\"ahler potential and a holomorphic function, we prove that BPS-like equations have a local unique solution. Then, we analyze the vacuum structure of the theory including their stability using dynamical system and their existence in ultraviolet-infrared regions using renormalization group flow.
Keywords
Cite
@article{arxiv.1512.05780,
title = {Higher Dimensional Curved Domain Walls on K\"ahler Surfaces},
author = {Fiki T. Akbar and Bobby E. Gunara and Flinn C. Radjabaycolle and Rio N. Wijaya},
journal= {arXiv preprint arXiv:1512.05780},
year = {2017}
}
Comments
14 pages, author's surname alphabetically corrected, adding a subsection about domain wall 5d N=2 SUGRA from a hypermultiplet, adding a discussion about Hamiltonian constraint, accepted in Annals of Physics 2017