B McInnes 1988 Class. Quantum Grav. 5 561 doi:10.1088/0264-9381/5/4/004
B McInnes
Show affiliationsSuperstring theory entails a very close relationship between the linear connection of internal space and the gauge connection of the theory: the former is 'embedded' in the latter. The author interprets this to mean that the gauge bundle admits a sub-bundle which is isomorphic to the holonomy bundles of the linear connection. Thus it is important to have information on the holonomy group, not merely the holonomy algebra, which is controlled (via Iwamoto's theorem) by the Ricci form of a Kahler manifold. The author discusses Ricci-flat manifolds with holonomy group (Z3m*SU(3))/Z3 and explains the consequences for the grand unification sector of the theory.
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
32J27 Compact Kähler manifolds: generalizations, classification
Issue 4 (April 1988)
B McInnes 1988 Class. Quantum Grav. 5 561
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