273 citations · 1.6k across the 165 of their papers we have counts for
4 papers · 2 filters
Moduli Space of Torsional Manifolds
Melanie Becker, Li-Sheng Tseng, Shing-Tung Yau
We characterize the geometric moduli of non-Kaehler manifolds with torsion. Heterotic supersymmetric flux compactifications require that the six-dimensional internal manifold be ba…
Obstructions to the Existence of Sasaki-Einstein Metrics
Jerome P. Gauntlett, Dario Martelli, James Sparks +1
We describe two simple obstructions to the existence of Ricci-flat Kahler cone metrics on isolated Gorenstein singularities or, equivalently, to the existence of Sasaki-Einstein me…
Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
Katrin Becker, Melanie Becker, Ji-Xiang Fu +2
We show that six-dimensional backgrounds that are T^2 bundle over a Calabi-Yau two-fold base are consistent smooth solutions of heterotic flux compactifications. We emphasize the i…
Sasaki-Einstein Manifolds and Volume Minimisation
Dario Martelli, James Sparks, Shing-Tung Yau
We study a variational problem whose critical point determines the Reeb vector field for a Sasaki-Einstein manifold. This extends our previous work on Sasakian geometry by lifting…