Exactly solved BPS wall and winding number in N=1 Supergravity

Abstract

A BPS exact wall solution is found in N=1 supergravity in four dimensions. The model uses chiral scalar field with a periodic superpotential admitting winding numbers. Maintaining the periodicity in supergravity requires a gravitational correction to superpotential which allows the exact solution. By introducing boundary cosmological constants, we construct non-BPS multi-wall solutions for which a systematic analytic approximation is worked out for small gravitational coupling.

13 pages, 6 figures, final version to appear in Physics Letters B

References in corpus (3)

• Effective Supergravity for Supergravity Domain Walls
• A de-Sitter thick domain wall solution by elliptic functions
• Winding number and non-BPS bound states of walls in nonlinear sigma models

Cited by in corpus (17)

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• Webs of Walls
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• Solvable Models of Domain Walls in N=1 Supergravity
• Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
• Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
• Moduli Space of BPS Walls in Supersymmetric Gauge Theories
• BPS Multi-Walls in Five-Dimensional Supergravity
• Stability and Fluctuations on Walls in N=1 Supergravity
• Radius Stabilization in a Supersymmetric Warped Compactification
• BPS Domain Walls and Vacuum Structure of N=1 Supergravity Coupled to a Chiral Multiplet
• Localization of the Standard Model via Higgs mechanism and a finite electroweak monopole from non-compact five dimensions
• Non-Abelian Gauge Field Localization on Walls and Geometric Higgs Mechanism
• Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions
• Effective theory for wall-antiwall system
• Geometry mediated SUSY breaking