On the Matrix Description of Calabi-Yau Compactifications

TL;DR

This paper demonstrates that the matrix description of M-theory compactified on Calabi-Yau threefolds is simpler than on tori, due to differences in brane configurations, leading to decoupled degrees of freedom from gravity.

Contribution

It shows that the matrix formulation for Calabi-Yau compactifications is more straightforward than for tori, highlighting the decoupling of degrees of freedom from gravity.

Findings

Matrix description on Calabi-Yau is simpler than on T^6.

Decoupling of degrees of freedom from gravity in this setup.

Differences in D6 brane configurations are key to this simplification.

Abstract

We point out that the matrix description of M-theory compactified on Calabi-Yau threefolds is in many respects simpler than the matrix description of a $T^6$ compactification. This is largely because of the differences between D6 branes wrapped on Calabi-Yau threefolds and D6 branes wrapped on six-tori. In particular, if we define the matrix theory following the prescription of Sen and Seiberg, we find that the remaining degrees of freedom are decoupled from gravity.