Self-mirror Large Volume Scenario with de Sitter

Abstract

The large volume scenario has been an important issue for flux compactifications with T-dual non-geometric fluxes. As one solution to this issue, to naturally embed duality in string compactification, we investigate in self-mirror Calabi-Yau flux compactification with large volume scenario visited. In particular, at the large volume limit, the non-perturbative terms contribute a special dominant uplift term in the order of $\mathcal{O}\left(\frac{1}{\mathcal{V}^2}\right)$, while the $α'$-corrections are trivialized due to the self-mirror Calabi-Yau construction. These in total contribute to effective scalar potential in the same order as from F-term $\frac{D W. DW}{\mathcal{V}^2}$, and essentially give rise to de Sitter vacua allowed by swampland conjectures.

Figures (3)

• Figure 1: Self-mirror scalar potential $V$ according to $\tau_0$ and $\tau_1$ with numerical constant value of $W_0=1, A_0=1, a_0= 2 \pi, b_0= 1/4, \tau_1=10^7$. The scalar potential approaches positive value from above at the large volume limit, and therefore de Sitter vacuum approached.
• Figure 2: Self-mirror scalar potential at the large volume limit according to $\tau_0$ and axionic field $b_0=[0, 1]$. Here the value $W_0=1,A_0=1, a_0=2\pi, \tau_1= 10^7, \tau_2= 10^7$ are used. The positive uplift term at $a_0\tau_0\sim \ln \mathcal{V}$ provides de Sitter vacuum around the saddle point region.
• Figure 3: Self-mirror scalar potential of quotient Schoen Calabi-Yau, at the large volume limit $\tau_0 \to \infty$, $a_1\tau_1, a_2\tau_2 \sim \ln \mathcal{V}$, as function $\tau_2$ and axionic field $b_2=[0, 1]$ according to \ref{['VQ2']}. Here the value $W_0=1, A_1=1, A_2=1, a_1= 2\pi, a_2=2 \pi, \tau_0= 10^5, \tau_1= 2, b_1=1/2$ are used. The positive uplift term gives rise to de Sitter vacuum along the $\tau_1, \tau_2$ directions around the saddle point region as illustrated.