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Heterotic supersymmetry, anomaly cancellation and equations of motion
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We show that the heterotic supersymmetry (Killing spinor equations) and the anomaly cancellation imply the heterotic equations of motion in dimensions five, six, seven, eight if and only if the connection on the tangent bundle is an instanton. For heterotic compactifications in dimension six this reduces the choice of that connection to the unique SU(3) instanton on a manifold with stable tangent bundle of degree zero.
Forward citations
Cited by 2 Pith papers
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Stringy Corrections to Heterotic SU(3)-Geometry
At second order in alpha', heterotic SU(3) compactifications with a smooth large-radius limit obey the same complex geometric equations as Strominger's first-order system, and the Hull connection is not an instanton.
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Almost-Hermitian and Hermitian metrics
A lecture-note survey of the Chern-Yamabe problem, a momentum-map interpretation on locally conformally Kähler manifolds, and a family of deformed Yamabe equations, mostly restating the author's earlier results.
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