The Stability of Fake Flat Domain Walls on K?hler Manifold

6th Asian Physics Symposium

Akbar, F.T.^1 ; Wijaya, R.N.^1 ; Gunara, B.E.^1,2

Theoretical Physics Laboratory' Theoretical High Energy Physics, Instrumentation Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha no. 10, Bandung

40132, Indonesia^1

Indonesian Center for Theoretical and Mathematical Physics (ICTMP), Indonesia^2

关键词: First order equations;    Kahler manifold;    Projection equations;    Scalar fields;    Scalar potential;    Sigma model;    Supergravity;    Superpotential;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/739/1/012043/pdf
DOI  :  10.1088/1742-6596/739/1/012043

来源: IOP

【 摘 要 】

In this paper, we study the stability of flat fake domain walls solution of fake N = 1 supergravity in d + 1 dimensions with Kahler surface as the sigma model. We start with Lagrangian for N = 1 fake supergravity which is coupling between gravity and complex scalar in d + 1 dimensions with scalar potential turned on. Then, as in supergravity theory, we demand that the scalar fields span the Kahler manifold. The equations of motion for fields can be reduced into first order equations by defining the superpotential and the resulting equations are called the projection equation and the fake BPS equation. Finally, we discuss about the stability of flat fake domain walls by investigating the critical points of the superpotential and the scalar potential.