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Form field theory on Calabi-Yau threefold

Farhang Loran·Hesam Soltanpanahi
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Abstract

We show how the natural Abelian duality of 2 and 3-form gravity theories on seven dimensional manifold CY3xS1, leads to an S-duality between 2 and 3-form theories on simply connected CY3. The massless sector of the 2-form field theory on CY3 corresponds to the A model string field theory. We discuss the complex structure independence of the 2-form theory for a general Kahler manifold and derive the holomorphic anomaly equations for simply connected CY3.

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Farhang Loran, Hesam Soltanpanahi. 2010-03-07. Form field theory on Calabi-Yau threefold. https://arxiv.org/abs/hep-th/0611230

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