Form field theory on Calabi-Yau three-fold

Abstract

We show how the natural Abelian duality of 2 and 3-form gravity theories on seven-dimensional manifold CY3 × S1 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 Kähler manifold and derive the holomorphic anomaly equations for simply connected CY3. © 2009 International Press.