An explicit holomorphic theory is constructed for flux backgrounds in 10D N=1 supergravity, conjecturally realizing the supergravity twist and generalizing minimal type I BCOV theory via Courant algebroids.
Anomaly cancellation in the topological string,
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Intersecting surface operators in 6d holomorphic Chern-Simons and BF theories produce local R-matrix-like operators with evidence for Yang-Baxter relations and derived coproducts from OPEs.
Deforming holomorphic Chern-Simons theory produces rescaling-invariant instantons and anomaly-free theories on End(TX) for Morse-classified directions in deformation space.
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On a Deformed Holomorphic Chern-Simons Theory
Deforming holomorphic Chern-Simons theory produces rescaling-invariant instantons and anomaly-free theories on End(TX) for Morse-classified directions in deformation space.