The many symmetries of Calabi-Yau compactifications

Details The many symmetries of Calabi-Yau compactifications The many symmetries of Calabi-Yau compactifications

2010-07-27

arxiv.org/abs/1007.4847v1

Class. Quantum Grav. 27 (2010) 163001

Physics

High Energy Physics

High Energy Physics - Theory

47 pages

Scientific paper

10.1088/0264-9381/27/16/163001

We review the major mathematical concepts involved in the dimensional reduction of D=11 N=1 supergravity theory over a Calabi-Yau manifold with non-trivial complex structure moduli resulting in ungauged D=5 N=2 supergravity theory with hypermultiplets. This last has a particularly rich structure with many underlying geometries. We reproduce the entire calculation and particularly emphasize its symplectic symmetry and how that arises from the topology of the underlying subspace. The review is intended to fill in a specific gap in the literature with the hope that it would be useful to both the beginner and the expert alike.

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