Supersymmetric Domain Walls and Strings in D=5 gauged Supergravity coupled to Vector Multiplets

TL;DR

This paper constructs new supersymmetric domain wall and string solutions in five-dimensional N=2 gauged supergravity with vector multiplets, revealing their geometric properties and implications for dual field theories.

Contribution

It introduces the most general half-supersymmetric domain wall solutions using very special geometry and explores novel string solutions related to Liouville theory and topological transitions.

Findings

Domain wall solutions describe RG flows in dual theories.

String solutions are related to Liouville theory.

Topological transitions between different AdS_3 x S^2 and AdS_3 x H^2 geometries.

Abstract

We present new supersymmetric domain wall and string solutions of five-dimensional N = 2 gauged supergravity coupled to an arbitrary number of vector multiplets. Using the techniques of very special geometry allows to obtain the most general domain wall preserving half of the supersymmetries. This solution, which describes a renormalization group flow in the dual field theory, is given in terms of Weierstrass elliptic functions. The magnetically charged, one quarter supersymmetric string solutions are shown to be closely related to Liouville theory. We furthermore investigate general product space compactifications, and show that topological transitions from AdS_3 x S^2 to AdS_3 x H^2 can occur when one moves in moduli space.