Dark energy and moduli stabilization of extra dimensions in M^{1+3}xT^2 spacetime

Understand

Recently, it was found by Greene and Levin that the Casimir energy of certain combinations of massless and massive fields in space with extra dimensions play a crucial role in the accelerated expansion of the late-time universe and therefore it could serve as a candidate for the dark energy.

• It also provides a mechanism in stabilizing the volume moduli of extra dimensions.
• However, the shape moduli of the extra dimensions were never taken into account in the previous work.
• We therefore study the stabilization mechanism for both volume and shape moduli due to the Casimir energy in ${\mathbb M}^{1+3} \times {\mathbb T}^{2}$.