Abstract
We present a new mechanism, the $S$-Track, to stabilize the volume modulus $S$ in heterotic M-theory flux compactifications along with the orbifold size $T$ besides complex structure and vector bundle moduli stabilization. The key dynamical ingredient which makes the volume modulus stabilization possible, is M5 instantons arising from M5 branes wrapping the whole Calabi-Yau slice. These are natural in heterotic M theory where the warping shrinks the Calabi-Yau volume along ${\mathbf{S}}^{1}/{\mathbf{Z}}_{2}$. Combined with $H$ flux, open M2 instantons, and hidden sector gaugino condensation it leads to a superpotential $W$ which stabilizes $S$ similar to a racetrack but without the need for multi-gaugino condensation. Moreover, $W$ contains two competing nonperturbative effects which stabilize $T$. We analyze the potential and superpotentials to show that it leads to heterotic de Sitter vacua with broken supersymmetry through nonvanishing F terms.
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