Flat Bogomolnyi-Prasad-Sommerfeld domain walls on two-dimensional Kaehler-Ricci soliton

Journal Article · Mon Jun 15 04:00:00 EDT 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3155786· OSTI ID:21294174

Gunara, Bobby Eka; Zen, Freddy Permana ^[1]

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1. Indonesia Center for Theoretical and Mathematical Physics (ICTMP) and Theoretical Physics Laboratory, Theoretical High Energy Physics and Instrumentation Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10, Bandung 40132 (Indonesia)

In this paper we address several aspects of flat Bogomolnyi-Prasad-Sommerfeld (BPS) domain walls together with their Lorentz invariant vacua of four-dimensional N=1 supergravity coupled to a chiral multiplet. The scalar field spans a one-parameter family of two-dimensional Kaehler manifolds satisfying a Kaehler-Ricci flow equation. We find that BPS equations and the scalar potential deform with respect to the real parameter related to the Kaehler-Ricci soliton. In addition, the analysis using gradient and renormalization group flows is carried out to ensure the existence of Lorentz invariant vacua related to anti-de Sitter/conformal field theory correspondence.

• OSTI ID: 21294174
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER GROUP
ANTI DE SITTER SPACE
CHIRAL SYMMETRY
CHIRALITY
CONFORMAL INVARIANCE
EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
LORENTZ INVARIANCE
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SOLITONS
SUPERGRAVITY
TWO-DIMENSIONAL CALCULATIONS