Supergravity Solutions from Floating Branes
Abstract
We solve the equations of motion of five-dimensional ungauged supergravity coupled to three U(1) gauge fields using a floating-brane Ansatz in which the electric potentials are directly related to the gravitational warp factors. We find a new class of non-BPS solutions, that can be obtained linearly starting from an Euclidean four-dimensional Einstein-Maxwell base. This class - the largest known so far - reduces to the BPS and almost-BPS solutions in certain limits. We solve the equations explicitly when the base space is given by the Israel-Wilson metric, and obtain solutions describing non-BPS D6 and anti-D6 branes kept in equilibrium by flux. We also examine the action of spectral flow on solutions with an Israel-Wilson base and show that it relates these solutions to almost-BPS solutions with a Gibbons-Hawking base.
Cite
@article{arxiv.0910.1860,
title = {Supergravity Solutions from Floating Branes},
author = {Iosif Bena and Stefano Giusto and Clement Ruef and Nicholas P. Warner},
journal= {arXiv preprint arXiv:0910.1860},
year = {2010}
}
Comments
24 pages, 1 figure