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

TL;DR

This paper presents an exact BPS wall solution in N=1 supergravity with a periodic superpotential, incorporating gravitational corrections and boundary cosmological constants to construct multi-wall solutions.

Contribution

It introduces a novel exact BPS wall solution in supergravity with winding numbers and develops systematic approximations for non-BPS multi-wall configurations.

Findings

Exact BPS wall solution in supergravity with periodic superpotential

Gravitational correction enables maintaining superpotential periodicity

Analytic approximation for multi-wall solutions at small gravitational coupling

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.