Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-18
Nucl.Phys. B690 (2004) 331-340
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 2 tables; 3 references added
Scientific paper
10.1016/j.nuclphysb.2004.05.022
We show that the generalized holonomy groups of ungauged supergravity theories with 8 real supercharges must be contained in SL(2-\nu,H)\ltimes{\nu H^{2-\nu}}\subseteq SL(2,H), where SL(2,H) is the generalized structure group. Here n=4\nu is the number of preserved supersymmetries, so the allowed values are limited to n=0,4,8. In particular, solutions of ungauged supergravities in four, five and six dimensions are examined and found to explicitly follow this pattern. We also argue that the G-structure has to be a subgroup of this generalized holonomy group, which may provide a possible classification for supergravity vacua with respect to the number of supercharges.
Batrachenko A.
Wen Wen-Yu
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