The conjecture that BCOV theory on C5\mathbb{C}^5 twists type IIB supergravity

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BCOV theory is a closed-string field theory for the topological BB-model, formulated here on complex affine space. Type IIB supergravity is the ten-dimensional supergravity theory on R10\mathbb{R}^{10}. Twisted-supergravity conjecture. BCOV theory on C5\mathbb{C}^5 is a twist of type IIB supergravity theory on R10\mathbb{R}^{10}. This conjecture would identify the holomorphic theory constructed in the paper with a twist of ten-dimensional type IIB supergravity; the paper presents compatibility with holomorphic Chern–Simons theory as evidence, but does not prove the identification.

References

Primary source

Kevin Costello and Si Li, “Quantization of open-closed BCOV theory, I”, arXiv:1505.06703 (2015).

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