Solitons in Brane Worlds

TL;DR

This paper explores dilatonic domain walls in string theory, revealing how warp factors behave differently from the Randall-Sundrum model and constructing fully localized solutions for various branes.

Contribution

It introduces new solutions for dilatonic branes within domain walls and analyzes the conditions under which Randall-Sundrum-like spectra can be extended.

Findings

Warp factor increases away from the wall in supersymmetric solutions.

Kaluza-Klein graviton spectrum matches Randall-Sundrum for certain dilaton couplings.

Constructed fully localized solutions valid throughout spacetime.

Abstract

We study some aspects of dilatonic domain walls in relation to the idea on the noncompact internal space. We find that the warp factor in the spacetime metric increases as one moves away from the domain wall for all the supersymmetric dilatonic domain wall solutions obtained from the (intersecting) BPS branes in string theories through toroidal compactifications, unlike the case of the Randall-Sundrum model. On the other hand, when the dilaton coupling parameter a for the D-dimensional extreme dilatonic domain wall takes the values |a|<2/(D-2), the Kaluza-Klein spectrum of graviton has the same structure as that of the Randall-Sundrum model (and the warp factor decreases in the finite interval around the dilatonic domain wall), thereby implying the possibility of extending the Randall-Sundrum model to the |a|<2/(D-2) case. We construct fully localized solutions describing extreme dilatonic branes within extreme dilatonic domain walls and the supersymmetric branes within the supersymmetric domain walls of string theories. These solutions are valid in any region of spacetime, not just in the region close to the domain walls.