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arXiv · 0901.0303

Flat BPS Domain Walls on 2d Kähler-Ricci Soliton

Bobby Eka Gunara·Freddy Permana Zen
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Abstract

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 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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Bobby Eka Gunara, Freddy Permana Zen. 2009-06-26. Flat BPS Domain Walls on 2d Kähler-Ricci Soliton. https://doi.org/10.1063/1.3155786

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