Flat BPS Domain Walls on 2d K\"ahler-Ricci Soliton
High Energy Physics - Theory
2009-08-07 v3 Mathematical Physics
Differential Geometry
Dynamical Systems
math.MP
Abstract
In this paper we address several aspects of flat Bogomolnyi-Prasad-Sommerfeld (BPS) domain walls together with their Lorentz invariant vacua of 4d N=1 supergravity coupled to a chiral multiplet. The scalar field spans a one-parameter family of 2d K\"ahler manifolds satisfying a K\"ahler-Ricci flow equation. We find that BPS equations and the scalar potential deform with respect to the real parameter related to the K\"ahler-Ricci soliton. In addition, the analysis using gradient and renormalization group flows are carried out to ensure the existence of Lorentz invariant vacua related to Anti de Sitter/Conformal Field Theory (AdS/CFT) correspondence.
Keywords
Cite
@article{arxiv.0901.0303,
title = {Flat BPS Domain Walls on 2d K\"ahler-Ricci Soliton},
author = {Bobby Eka Gunara and Freddy Permana Zen},
journal= {arXiv preprint arXiv:0901.0303},
year = {2009}
}
Comments
11 pages, 2 tables. Section 3 slightly modified