Abstract A geometric flow on (2, 2)-forms is introduced which preserves the balanced
condition of metrics, and whose stationary points satisfy the anomaly equation in Strominger …

Abstract The Fu–Yau equation is an equation introduced by Fu and Yau as a generalization
to arbitrary dimensions of an ansatz for the Strominger system. As in the Strominger system …

The Anomaly flow is a flow which implements the Green-Schwarz anomaly cancellation
mechanism originating from superstring theory, while preserving the conformally balanced …

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 α'α′. This implies both results of Fu …

These notes give an introduction to the Strominger system of partial differential equations,
and are based on lectures given in September 2015 at the GEOQUANT School, held at the …

We study the relation between supersymmetry and geometric flows driven by the Bianchi
identity for the three-form flux H in heterotic supergravity. We describe how the flow …

Let X be a compact, Kähler, Calabi‐Yau threefold and suppose X↦ X ̲⇝ X t X↦X⇝X_t, for
t∈ Δ t∈Δ, is a conifold transition obtained by contracting finitely many disjoint (− 1,− 1) (-1 …

We construct the space of infinitesimal variations for the Strominger system and an
obstruction space to integrability, using elliptic operator theory. We initiate the study of the …

We construct many new invariant solutions to the Strominger system with respect to a 2-
parameter family of metric connections∇ ε, ρ in the anomaly cancellation equation. The …

The Strominger system [23, 37] is a system of partial differential equations characterizing the
compactification of heterotic superstrings with torsion. Mathematically speaking, we may …