Twisted type IIB supergravity as BCOV theory

Let XX be a Calabi–Yau 55-fold, with type IIB supergravity placed in the Calabi–Yau background and its bosonic ghost field set to the covariantly constant Killing spinor (Q,0)(Q,0). Type IIB twist conjecture. This twist is equivalent to BCOV theory on XX. This identifies the twisted type IIB supergravity theory with a holomorphic closed-string field theory; the source notes that the minimal version of BCOV theory is expected, while a full equivalence is not proved.

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Primary source

Kevin Costello and Si Li, “Twisted supergravity and its quantization”, arXiv:1606.00365 (2016).

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