Stringy Corrections to Heterotic SU(3)-Geometry

Abstract

We analyse the ${\alpha }^{\prime 2}$ corrections to the supersymmetry transformations constructed by Bergshoeff--de Roo for heterotic compactifications on SU(3) manifolds. The internal geometry remains complex and conformally balanced. The graviton equation of motion receives an explicit ${\alpha }^{\prime 2}$ correction because the tangent-bundle connection appearing in the action is the composite Hull connection. We show that supersymmetry and the Bianchi identity imply all the equations of motion, including this correction. No instanton condition is required.

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