54 citations · 203 across the 24 of their papers we have counts for
4 papers · 1 filter
The Anomaly flow and the Fu-Yau equation
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
The Anomaly flow is shown to converge on toric fibrations with the Fu-Yau ansatz, for both positive and negative values of the slope parameter . This implies both results of Fu…
Anomaly flows
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
The Anomaly flow is a flow which implements the Green-Schwarz anomaly cancellation mechanism originating from superstring theory, while preserving the conformally balanced conditio…
Concavity of the Lagrangian Phase Operator and Applications
Tristan C. Collins, Sebastien Picard, Xuan Wu
We study the Dirichlet problem for the Lagrangian phase operator, in both the real and complex setting. Our main result states that if is a compact domain in o…
The Fu-Yau equation with negative slope parameter
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
The Fu-Yau equation is an equation introduced by J. Fu and S.T. Yau as a generalization to arbitrary dimensions of an ansatz for the Strominger system. As in the Strominger system,…