BPS Multi-Walls in Five-Dimensional Supergravity

TL;DR

This paper constructs exact BPS multi-wall solutions in five-dimensional supergravity, revealing their moduli space structure, smooth gravitational limits, and isometry properties, advancing understanding of domain walls in supergravity theories.

Contribution

It introduces new exact multi-wall solutions in 5D supergravity as deformations of massive sigma models, with detailed analysis of their moduli space and symmetry enhancements.

Findings

Solutions contain 2n parameters similar to global SUSY models

Warp factor has at most one stationary point

Multi-wall solutions exist with U(1)^n isometry in the gravity limit

Abstract

Exact BPS solutions of multi-walls are obtained in five-dimensional supergravity. The solutions contain 2n parameters similarly to the moduli space of the corresponding global SUSY models and have a smooth limit of vanishing gravitational coupling. The models are constructed as gravitational deformations of massive T^*CP^n nonlinear sigma models by using the off-shell formulation of supergravity and massive quaternionic quotient method with U(1)*U(1) gauging. We show that the warp factor can have at most single stationary point in this case. We also obtain BPS multi-wall solutions even for models which reduce to generalizations of massive T^*CP^n models with only U(1)^n isometry in the limit of vanishing gravitational coupling. At particular values of parameters, isometry of the quaternionic manifolds is enhanced.