Advances in Theoretical and Mathematical Physics
Volume 13 (2009)
Form field theory on Calabi–Yau three-fold
Pages: 637 – 666
We show how the natural Abelian duality of 2 and 3-form gravity theories on seven-dimensional manifold $CY_3 \times S^1$ leads to an S-duality between 2 and 3-form theories on simply connected $CY_3$. The massless sector of the 2-form field theory on $CY_3$ 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 $CY_3$.