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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/S0370-2693(02)03187-8

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.

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