arXiv:hep-th/0208127·v4·High Energy Physics — Theory
Exactly solved BPS wall and winding number in N=1 Supergravity
Minoru Eto🇯🇵 · Nobuhito Maru🇯🇵 · Norisuke Sakai🇯🇵 · Tsuyoshi Sakata🇯🇵
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.
Comments: 13 pages, 6 figures, final version to appear in Physics Letters B