ar X iv : 0 90 1 . 03 03 v 1 [ he p - th ] 5 J an 2 00 9 Flat BPS Domain Walls on 2 d Kähler - Ricci Soliton
نویسنده
چکیده
In this paper we address several aspects of flat Bogomolnyi-PrasadSommerfeld (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 Kähler manifolds satisfying a Kähler-Ricci flow equation. We find that BPS equations and the scalar potential deform with respect to the real parameter related to the Kähler-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.
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