Supertubes and special holonomy

Abstract

We obtain a $\frac{1}{4}$-supersymmetric 6-brane solution of IIA Supergravity by T-dualizing the supertube recently found. The resulting $C_1$ electric charge is related to the original $D0$-brane charge. The uplifted solution to eleven dimensions results to be a purely geometrical configuration, which can be interpreted as a bound state of a Taub-NUT space and a pp-wave. Being the non trivial part of the metric pseudo-Riemannian, the resulting reduced holonomy group is non-compact and locally isomorphic to a semidirect product of an Abelian four dimensional group and SU(2).

11 pages, latex, no figures

References in corpus (5)

• Supergravity Supertubes
• Tachyons, Supertubes and Brane/Anti-Brane Systems
• Supersymmetric Brane-Antibrane Configurations
• Super D-Helix
• Supercurves

Cited by in corpus (10)

• Adding momentum to D1-D5 system
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• A Geometric Look on the Microstates of Supertubes
• Phase Moduli Space of Supertubes
• Tachyon Tube on non BPS D-branes
• Tubular Solutions in NS5-brane, Dp-brane and Macroscopic Strings Backgrounds
• Condensation of Tubular D2-branes in Magnetic Field Background
• Supertubes in reduced holonomy manifolds
• Tubular Solutions of Dirac-Born-Infeld Action on Dp-Brane Background
• New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations