BPS domain walls and vacuum structure of N =1 supergravity coupled to a chiral multiplet
Abstract
We study BPS domain walls of N =1 supergravity coupled to a chiral multiplet and their Lorentz invariant vacuums which can be viewed as critical points of BPS equations and the scalar potential. Supersymmetry further implies that gradient flows of BPS equations controlled by a holomorphic superpotential and the Kähler geometry are unstable near local maximum of the scalar potential, whereas they are stable around local minimum and saddles of the scalar potential. However, the analysis using renormalization group flows shows that such gradient flows do not always exist particularly in infrared region.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 May 2007
 DOI:
 10.1063/1.2728889
 arXiv:
 arXiv:hepth/0612017
 Bibcode:
 2007JMP....48e3505G
 Keywords:

 04.65.+e;
 11.30.Pb;
 12.60.Jv;
 11.30.Rd;
 11.30.Cp;
 Supergravity;
 Supersymmetry;
 Supersymmetric models;
 Chiral symmetries;
 Lorentz and Poincare invariance;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Dynamical Systems
 EPrint:
 17 pages, a typo corrected in section 2