Solvable models of domain walls in N=1 supergravity
Abstract
A class of exactly solvable models of domain walls is worked out in D=4 N=1 supergravity. We develop a method to embed globally supersymmetric theories with exact BPS domain wall solutions into supergravity, by introducing a gravitationally deformed superpotential. The gravitational deformation is natural in the spirit of maintaining the Kähler invariance. The solutions of the warp factor and the Killing spinor are also obtained. We find that three distinct behaviors of warp factors arise depending on the value of a constant term in the superpotential: exponentially decreasing in both sides of the wall, flat in one side and decreasing in the other, and increasing in one side and decreasing in the other. Only the first possibility gives the localized massless graviton zero mode. Models with multiwalls and models with runaway vacua are also discussed.
 Publication:

Physical Review D
 Pub Date:
 December 2003
 DOI:
 10.1103/PhysRevD.68.125001
 arXiv:
 arXiv:hepth/0307276
 Bibcode:
 2003PhRvD..68l5001E
 Keywords:

 11.27.+d;
 04.65.+e;
 11.25.w;
 11.30.Pb;
 Extended classical solutions;
 cosmic strings domain walls texture;
 Supergravity;
 Strings and branes;
 Supersymmetry;
 High Energy Physics  Theory
 EPrint:
 10 pages, 3 figures