Domain wall flow equations and SU(3)xSU(3) structure compactifications
High Energy Physics - Theory
2009-12-22 v3
Abstract
We study supersymmetric domain wall solutions in four dimensions arising from the compactification of type II supergravity on a SU(3)xSU(3) structure manifold. Using a pure spinor approach, we show that the supersymmetry variations can be reinterpreted as a generalisation of the Hitchin flow equations and describe the embedding of a SU(3)xSU(3) structure manifold into a G_2xG_2 structure manifold. We find a precise agreement between the four- and ten-dimensional supergravity results. The flow equations derived here should have applications in constructing the gravity duals of Chern-Simons-matter conformal field theories.
Cite
@article{arxiv.0905.1334,
title = {Domain wall flow equations and SU(3)xSU(3) structure compactifications},
author = {Paul Smyth and Silvia Vaulà},
journal= {arXiv preprint arXiv:0905.1334},
year = {2009}
}
Comments
54 pages. v2: references added and acknowledgments updated. v3: published version