Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-04-29
JHEP 0301 (2003) 066
Physics
High Energy Physics
High Energy Physics - Theory
83 pages, numerous figures v2,3: corrected typos, some references added
Scientific paper
10.1088/1126-6708/2003/01/066
We develop methods to study the singularities of certain $G_2$ cones related to toric hyperkahler spaces and Einstein selfdual orbifolds. This allows us to determine the low energy gauge groups of chiral N=1 compactifications of M-theory on a large family of such backgrounds, which includes the models recently studied by Acharya and Witten. All M-theory compactifications belonging to our family admit a $T^2$ of isometries, and therefore T-dual IIA and IIB descriptions. We argue that reduction through such an isometry leads generically to systems of weakly and strongly coupled IIA 6-branes, T-dual to delocalized type IIB 5-branes. We find a simple criterion for the existence of a `good' isometry which leads to IIA models containing only weakly-coupled D6-branes, and construct examples of such backgrounds. Some of the methods we develop may also apply to different situations, such as the study of certain singularities in the hypermultiplet moduli space of N=2 supergravity in four dimensions.
Anguelova Lilia
Lazaroiu Calin Iuliu
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