A quadratic heterotic string field theory action is built with manifest N=1 d=4 supersymmetry, and its massless Calabi-Yau independent sector matches N=1 d=4 supergravity plus a tensor multiplet.
Heterotic String Field Theory
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We construct the Neveu-Schwarz sector of heterotic string field theory using the large Hilbert space of the superghosts and the multi-string products of bosonic closed string field theory. No picture-changing operators are required as in Wess-Zumino-Witten-like open superstring field theory. The action exhibits a novel kind of nonpolynomiality: in addition to terms necessary to cover missing regions of moduli spaces, new terms arise from the boundary of the missing regions and its subspaces. We determine the action up to quintic order and a subset of terms to all orders.
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Heterotic String Field Theory with Manifest Spacetime Supersymmetry
A quadratic heterotic string field theory action is built with manifest N=1 d=4 supersymmetry, and its massless Calabi-Yau independent sector matches N=1 d=4 supergravity plus a tensor multiplet.