M-theory on Calabi-Yau Five-Folds

Understand

We study the compactification of M-theory on Calabi-Yau five-folds and the resulting N=2 super-mechanics theories.

• By explicit reduction from 11 dimensions, including both bosonic and fermionic terms, we calculate the one-dimensional effective action and show that it can be derived from an N=2 super-space action.
• We find that the Kahler and complex structure moduli of the five-fold reside in 2a and 2b super-multiplets, respectively.
• Constrained 2a super-multiplets arise from zero-modes of the M-theory three-form and lead to cross-couplings between 2a and 2b multiplets.