Flat BPS Domain Walls on 2d Kähler-Ricci Soliton

Details Flat BPS Domain Walls on 2d Kähler-Ricci Soliton Flat BPS Domain Walls on 2d Kähler-Ricci Soliton

2009-01-05

arxiv.org/abs/0901.0303v3

J.Math.Phys.50:063514,2009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 tables. Section 3 slightly modified

Scientific paper

10.1063/1.3155786

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.

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